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Recent trends in Lorentzian geometry [[electronic resource] /] / edited by Miguel Sánchez, Miguel Ortega, Alfonso Romero
| Recent trends in Lorentzian geometry [[electronic resource] /] / edited by Miguel Sánchez, Miguel Ortega, Alfonso Romero |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (356 p.) |
| Disciplina | 516.362 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Convex geometry
Discrete geometry Hyperbolic geometry Differential geometry Convex and Discrete Geometry Hyperbolic Geometry Differential Geometry |
| Soggetto genere / forma | Conference proceedings. |
| ISBN |
1-283-84902-X
1-4614-4897-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Recent Trends in Lorentzian Geometry; Preface; Contents; Hyperbolic Metrics on Riemann Surfaces and Space-Like CMC-1 Surfaces in de Sitter 3-Space; 1 Generalized CMC-1 Faces in de Sitter 3-Space; 2 Extended Hyperbolic Metrics on Riemann Surfaces; 3 Fundamental Properties of Co-orientable Extended Hyperbolic Metrics; 4 Classification of de Sitter Catenoids; 5 Hyperbolic Metrics with At Most Two Regular Singularities; Appendix A: Projective Connections; Appendix B: A Property of Subgroups in PSU(1,1); References
Calabi-Bernstein Results and Parabolicity of Maximal Surfaces in Lorentzian Product Spaces1 Introduction; 2 The Classical Calabi-Bernstein Theorem in R31; 2.1 Space-Like Graphs and the Calabi-Bernstein Theorem; 2.2 Romero's Proof Based on the Liouville Theorem for Harmonic Functions on R2; 2.3 Alías and Palmer's Proof Based on a Duality Result; 2.4 Alías and Palmer's Proof Based on a Local Integral Inequality for the Gaussian Curvature; 3 Some Preliminaries on Lorentzian Product Spaces; 4 A Parametric Version of a Calabi-Bernstein Result; 5 A Nonparametric Version of a Calabi-Bernstein Result 6 Some Nontrivial Entire Maximal Graphs in H2R16.1 Duality Between Minimal and Maximal Graphs; 6.2 More Examples; 7 Relative Parabolicity of Maximal Surfaces; 7.1 Relative Parabolicity and Entire Maximal Graphs; 8 A Local Estimate for Maximal Surfaces in a Lorentzian Product Space; References; Umbilical-Type Surfaces in SpaceTime; 1 Introduction; 2 Basic Concepts and Notation; 2.1 Extrinsic Geometry: Second Fundamental Forms and Weingarten Operators; 2.2 Special Bases on x(S); 2.3 The Mean Curvature Vector Field H and Its Causal Character; 2.4 The Extrinsic Vector Field G 2.5 The Normal Connection One-Form s2.6 Curvatures: Gauss and Ricci Equations; 3 Umbilical-Type, Pseudo-umbilical, and Related Surfaces; 4 Proof of the Main Theorems; 5 Some Important Corollaries and Consequences; 6 Final Considerations; References; Stability of Marginally Outer Trapped Surfaces and Applications; 1 Introduction; 2 Definition of Marginally Outer Trapped Surface; 2.1 Geometry of Spacelike Surfaces; 2.2 Marginally Outer Trapped Surfaces; 3 Stability of MOTS; 3.1 Principal Eigenvalue of the Stability Operator; 3.2 Dependence of the Stability Properties on the Direction 4 Barrier Properties of MOTS4.1 MOTS and Symmetries; 5 MOTS and Killing Horizons; 5.1 Killing Horizons; 5.2 Stability Operator of MOTS in Killing Horizons; 6 Axially Symmetric MOTS and Angular Momentum; References; Area Inequalities for Stable Marginally Trapped Surfaces; 1 Introduction; 2 Geometric and Physical Elements; 2.1 Geometry of 2-Surfaces; 2.1.1 Axisymmetry; 2.2 Electromagnetic Field; 2.2.1 Yang-Mills Fields; 3 Stability of Marginally Outer Trapped Surfaces; 3.1 Basic Definitions; 3.2 Integral-Inequality Characterizations of MOTS Stability 3.3 Variants to the Stably Outermost Condition |
| Record Nr. | UNINA-9910438156603321 |
| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stability and Bifurcation Theory for Non-Autonomous Differential Equations [[electronic resource] ] : Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera / / by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Miguel Ortega
| Stability and Bifurcation Theory for Non-Autonomous Differential Equations [[electronic resource] ] : Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera / / by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Miguel Ortega |
| Autore | Capietto Anna |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (IX, 303 p. 26 illus., 9 illus. in color.) |
| Disciplina | 515.352 |
| Collana | C.I.M.E. Foundation Subseries |
| Soggetto topico |
Differential equations
Difference equations Functional equations Dynamics Ergodic theory Ordinary Differential Equations Difference and Functional Equations Dynamical Systems and Ergodic Theory |
| Soggetto genere / forma | Conference proceedings. |
| ISBN | 3-642-32906-3 |
| Classificazione | 34B1537B5534C2537E4037G3534K12 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Maslov index and global bifurcation for nonlinear boundary value problems -- Discrete-time nonautonomous dynamical systems -- Resonance problems for some non-autonomous ordinary differential equations -- Non-autonomous functional differential equations and applications -- Twist mappings with non-periodic angles. |
| Record Nr. | UNISA-996466480403316 |
Capietto Anna
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Stability and Bifurcation Theory for Non-Autonomous Differential Equations : Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera / / by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Miguel Ortega
| Stability and Bifurcation Theory for Non-Autonomous Differential Equations : Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera / / by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Miguel Ortega |
| Autore | Capietto Anna |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (IX, 303 p. 26 illus., 9 illus. in color.) |
| Disciplina | 515.352 |
| Collana | C.I.M.E. Foundation Subseries |
| Soggetto topico |
Differential equations
Difference equations Functional equations Dynamics Ergodic theory Ordinary Differential Equations Difference and Functional Equations Dynamical Systems and Ergodic Theory |
| Soggetto genere / forma | Conference proceedings. |
| ISBN | 3-642-32906-3 |
| Classificazione | 34B1537B5534C2537E4037G3534K12 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Maslov index and global bifurcation for nonlinear boundary value problems -- Discrete-time nonautonomous dynamical systems -- Resonance problems for some non-autonomous ordinary differential equations -- Non-autonomous functional differential equations and applications -- Twist mappings with non-periodic angles. |
| Record Nr. | UNINA-9910438149403321 |
|
Capietto Anna
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||