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1: A Sharp Divergence Theorem with Nontangential Pointwise Traces / Dorina Mitrea, Irina Mitrea, Marius Mitrea
1: A Sharp Divergence Theorem with Nontangential Pointwise Traces / Dorina Mitrea, Irina Mitrea, Marius Mitrea
Autore Mitrea, Dorina
Pubbl/distr/stampa Cham, : Springer, 2022
Descrizione fisica xxviii, 924 p. : ill. ; 24 cm
Altri autori (Persone) Mitrea, Irina
Mitrea, Marius
Soggetto topico 15A66 - Clifford algebras, spinors [MSC 2020]
26-XX - Real functions [MSC 2020]
35-XX - Partial differential equations [MSC 2020]
35Jxx - Elliptic equations and elliptic systems [MSC 2020]
42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
42Bxx - Harmonic analysis in several variables [MSC 2020]
Soggetto non controllato Ahlfors regular domain
Bounded mean oscillations
Clifford algebras
Differential Forms
Divergence Theorem
First-order system
Gauss-Green theorem
Hardy-Littlewood maximal function
Integration by parts
NTA domain
Nontangential maximal function
Nontangentially accessible boundary
Quasi-metric spaces
Regular SKT domain
Reifenberg flat domain
Riemannian manifolds
Spaces of homogenous type
Stokes’ theorem
Uniform domain
Vanishing mean oscillations
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0277503
Mitrea, Dorina  
Cham, : Springer, 2022
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1: A Sharp Divergence Theorem with Nontangential Pointwise Traces / Dorina Mitrea, Irina Mitrea, Marius Mitrea
1: A Sharp Divergence Theorem with Nontangential Pointwise Traces / Dorina Mitrea, Irina Mitrea, Marius Mitrea
Autore Mitrea, Dorina
Pubbl/distr/stampa Cham, : Springer, 2022
Descrizione fisica xxviii, 924 p. : ill. ; 24 cm
Altri autori (Persone) Mitrea, Irina
Mitrea, Marius
Soggetto topico 15A66 - Clifford algebras, spinors [MSC 2020]
26-XX - Real functions [MSC 2020]
35-XX - Partial differential equations [MSC 2020]
35Jxx - Elliptic equations and elliptic systems [MSC 2020]
42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
42Bxx - Harmonic analysis in several variables [MSC 2020]
Soggetto non controllato Ahlfors Regular Domain
Bounded Mean Oscillations
Clifford Algebras
Differential Forms
Divergence Theorem
First-order system
Gauss-Green theorem
Hardy-Littlewood maximal function
Integrations
NTA domain
Nontangential maximal function
Nontangentially accessible boundary
Quasi-metric spaces
Regular SKT domain
Reifenberg flat domain
Riemannian manifolds
Spaces of homogenous type
Stokes’ theorem
Uniform domain
Vanishing mean oscillations
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00277503
Mitrea, Dorina  
Cham, : Springer, 2022
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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Advances in the mathematical sciences : AWM research symposium, Minneapolis, MN, June 2022 / Megan Breit-Goodwin ... [et al.] editors
Advances in the mathematical sciences : AWM research symposium, Minneapolis, MN, June 2022 / Megan Breit-Goodwin ... [et al.] editors
Autore Association for women in mathematics research symposium : 2022
Pubbl/distr/stampa Cham, : Springer, 2025
Descrizione fisica 1 testo elettronico (xv, 366 p. : ill.)
Soggetto topico 00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020]
05-XX - Combinatorics [MSC 2020]
13-XX - Commutative algebra [MSC 2020]
35-XX - Partial differential equations [MSC 2020]
54-XX - General topology [MSC 2020]
60-XX - Probability theory and stochastic processes [MSC 2020]
65-XX - Numerical analysis [MSC 2020]
Soggetto non controllato Borel Moment Map
Cage Problem
Choquet Integrals
Coccidioides
Convex Integration Technique
Hausdorff Content
Hyper–Kaehler manifolds
Kaczmarz-type Algorithms
Navier-Stokes equations
Nilpotent Symplectic Aternating Algebras
PDE-ODE Systems
Perfectoid Diamonds
Phase Change Models
Riemannian manifolds
Stochastic Partial Differential Equations
Symplectic Involutions
Tumor Oxygenation
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00310524
Association for women in mathematics research symposium : 2022
Cham, : Springer, 2025
Materiale a stampa
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An introduction to differential manifolds / Jacques Lafontaine
An introduction to differential manifolds / Jacques Lafontaine
Autore Lafontaine, Jacques
Pubbl/distr/stampa [Cham], : Springer, 2015
Descrizione fisica XIX, 395 p. : ill. ; 24 cm
Soggetto topico 58-XX - Global analysis, analysis on manifolds [MSC 2020]
53-XX - Differential geometry [MSC 2020]
22-XX - Topological groups, Lie groups [MSC 2020]
58A40 - Differential spaces [MSC 2020]
58A12 - de Rham theory in global analysis [MSC 2020]
58A05 - Differentiable manifolds, foundations [MSC 2020]
Soggetto non controllato De Rham Cohomology
Degree Theory
Differential Forms
Differential Manifolds
Differential geometry
Differential topology
Gauss-Bonnet Theorem
Lie Theory
Lie groups
Manifolds
Riemannian manifolds
Tangent Space
Vector fields
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0113681
Lafontaine, Jacques  
[Cham], : Springer, 2015
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An introduction to differential manifolds / Jacques Lafontaine
An introduction to differential manifolds / Jacques Lafontaine
Autore Lafontaine, Jacques
Pubbl/distr/stampa [Cham], : Springer, 2015
Descrizione fisica XIX, 395 p. : ill. ; 24 cm
Soggetto topico 22-XX - Topological groups, Lie groups [MSC 2020]
53-XX - Differential geometry [MSC 2020]
58-XX - Global analysis, analysis on manifolds [MSC 2020]
58A05 - Differentiable manifolds, foundations [MSC 2020]
58A12 - de Rham theory in global analysis [MSC 2020]
58A40 - Differential spaces [MSC 2020]
Soggetto non controllato De Rham Cohomology
Degree Theory
Differential Forms
Differential Geometry
Differential Manifolds
Differential Topology
Gauss-Bonnet Theorem
Lie Theory
Lie groups
Manifolds
Riemannian manifolds
Tangent Space
Vector fields
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces. Its ambition is to give solid foundations. In particular, the introduction of “abstract” notions such as manifolds or differential forms is motivated via questions and examples from mathematics or theoretical physics. More than 150 exercises, some of them easy and classical, some others more sophisticated, will help the beginner as well as the more expert reader. Solutions are provided for most of them. The book should be of interest to various readers: undergraduate and graduate students for a first contact to differential manifolds, mathematicians from other fields and physicists who wish to acquire some feeling about this beautiful theory. The original French text Introduction aux variétés différentielles has been a best-seller in its category in France for many years. Jacques Lafontaine was successively assistant Professor at Paris Diderot University and Professor at the University of Montpellier, where he is presently emeritus. His main research interests are Riemannian and pseudo-Riemannian geometry, including some aspects of mathematical relativity. Besides his personal research articles, he was involved in several textbooks and research monographs.
Titolo uniforme
Record Nr. UNICAMPANIA-VAN00113681
Lafontaine, Jacques  
[Cham], : Springer, 2015
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Bieberbach Groups and Flat Manifolds / Leonard S. Charlap
Bieberbach Groups and Flat Manifolds / Leonard S. Charlap
Autore Charlap, Leonard S.
Pubbl/distr/stampa New York, : Springer-Verlag, 1986
Descrizione fisica xiii, 242 p. : ill. ; 24 cm
Soggetto topico 53-XX - Differential geometry [MSC 2020]
30-XX - Functions of a complex variable [MSC 2020]
20J06 - Cohomology of groups [MSC 2020]
30F10 - Compact Riemann surfaces and uniformization [MSC 2020]
20C05 - Group rings of finite groups and their modules (group-theoretic aspects) [MSC 2020]
20H15 - Other geometric groups, including crystallographic groups [MSC 2020]
53C20 - Global Riemannian geometry, including pinching [MSC 2020]
20G10 - Cohomology theory for linear algebraic groups [MSC 2020]
14F30 - $p$-adic cohomology, crystalline cohomology [MSC 2020]
Soggetto non controllato Algebra
Algebraic structures
Curvature
Differential topology
Finite
Geometry
Invariants
Manifolds
Mathematics
Morphism
Riemannian manifolds
Topology
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0268852
Charlap, Leonard S.  
New York, : Springer-Verlag, 1986
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Bieberbach Groups and Flat Manifolds / Leonard S. Charlap
Bieberbach Groups and Flat Manifolds / Leonard S. Charlap
Autore Charlap, Leonard S.
Pubbl/distr/stampa New York, : Springer-Verlag, 1986
Descrizione fisica xiii, 242 p. : ill. ; 24 cm
Soggetto topico 14F30 - $p$-adic cohomology, crystalline cohomology [MSC 2020]
20C05 - Group rings of finite groups and their modules (group-theoretic aspects) [MSC 2020]
20G10 - Cohomology theory for linear algebraic groups [MSC 2020]
20H15 - Other geometric groups, including crystallographic groups [MSC 2020]
20J06 - Cohomology of groups [MSC 2020]
30-XX - Functions of a complex variable [MSC 2020]
30F10 - Compact Riemann surfaces and uniformization [MSC 2020]
53-XX - Differential geometry [MSC 2020]
53C20 - Global Riemannian geometry, including pinching [MSC 2020]
Soggetto non controllato Algebra
Algebraic Structures
Curvature
Differential Topology
Finite
Geometry
Invariants
Manifolds
Mathematics
Morphism
Riemannian manifolds
Topology
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Many mathematics books suffer from schizophrenia, and this is yet another. On the one hand it tries to be a reference for the basic results on flat riemannian manifolds. On the other hand it attempts to be a textbook which can be used for a second year graduate course. My aim was to keep the second personality dominant, but the reference persona kept breaking out especially at the end of sections in the form of remarks that contain more advanced material. To satisfy this reference persona, I'll begin by telling you a little about the subject matter of the book, and then I'll talk about the textbook aspect. A flat riemannian manifold is a space in which you can talk about geometry (e. g. distance, angle, curvature, "straight lines," etc. ) and, in addition, the geometry is locally the one we all know and love, namely euclidean geometry. This means that near any point of this space one can introduce coordinates so that with respect to these coordinates, the rules of euclidean geometry hold. These coordinates are not valid in the entire space, so you can't conclude the space is euclidean space itself. In this book we are mainly concerned with compact flat riemannian manifolds, and unless we say otherwise, we use the term "flat manifold" to mean "compact flat riemannian manifold. " It turns out that the most important invariant for flat manifolds is the fundamental group.
Record Nr. UNICAMPANIA-VAN00268852
Charlap, Leonard S.  
New York, : Springer-Verlag, 1986
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Classification Theory of Riemannian Manifolds : Harmonic, Quasiharmonic and Biharmonic Functions / Leo Sario ... [et al.]
Classification Theory of Riemannian Manifolds : Harmonic, Quasiharmonic and Biharmonic Functions / Leo Sario ... [et al.]
Pubbl/distr/stampa Berlin, : Springer, 1977
Descrizione fisica xxii, 502 p. ; 24 cm
Soggetto topico 58-XX - Global analysis, analysis on manifolds [MSC 2020]
31-XX - Potential theory [MSC 2020]
31B05 - Harmonic, subharmonic, superharmonic functions in higher dimensions [MSC 2020]
31B30 - Biharmonic and polyharmonic equations and functions in higher dimensions [MSC 2020]
Soggetto non controllato Biharmonic Functions
Functions
Harmonic Functions
Manifolds
Riemannian manifolds
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0260297
Berlin, : Springer, 1977
Materiale a stampa
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Classification Theory of Riemannian Manifolds : Harmonic, Quasiharmonic and Biharmonic Functions / Leo Sario ... [et al.]
Classification Theory of Riemannian Manifolds : Harmonic, Quasiharmonic and Biharmonic Functions / Leo Sario ... [et al.]
Pubbl/distr/stampa Berlin, : Springer, 1977
Descrizione fisica xxii, 502 p. ; 24 cm
Soggetto topico 31-XX - Potential theory [MSC 2020]
31B05 - Harmonic, subharmonic, superharmonic functions in higher dimensions [MSC 2020]
31B30 - Biharmonic and polyharmonic equations and functions in higher dimensions [MSC 2020]
58-XX - Global analysis, analysis on manifolds [MSC 2020]
Soggetto non controllato Biharmonic Functions
Functions
Harmonic Functions
Manifolds
Riemannian manifolds
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00260297
Berlin, : Springer, 1977
Materiale a stampa
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Differentiable manifolds : forms, currents, harmonic forms / Georges de Rham ; translated from the French by F. R. Smith ; introduction to the English edition by S. S. Chern
Differentiable manifolds : forms, currents, harmonic forms / Georges de Rham ; translated from the French by F. R. Smith ; introduction to the English edition by S. S. Chern
Autore Rham, Georges de
Pubbl/distr/stampa Berlin, : Springer, 1984
Descrizione fisica X, 166 p. ; 24 cm
Soggetto topico 57-XX - Manifolds and cell complexes [MSC 2020]
58-XX - Global analysis, analysis on manifolds [MSC 2020]
58A25 - Currents in global analysis [MSC 2020]
58A14 - Hodge theory in global analysis [MSC 2020]
58Axx - General theory of differentiable manifolds [MSC 2020]
58A10 - Differential forms in global analysis [MSC 2020]
55Nxx - Homology and cohomology theories in algebraic topology [MSC 2020]
58A12 - de Rham theory in global analysis [MSC 2020]
58A05 - Differentiable manifolds, foundations [MSC 2020]
Soggetto non controllato Differentiable manifolds
Manifolds
Riemannian manifolds
Varieties
ISBN 978-35-401-3463-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0054496
Rham, Georges de  
Berlin, : Springer, 1984
Materiale a stampa
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