Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Conformal differential geometry and its generalizations [[electronic resource] /] / Maks A. Akivis, Vladislav V. Goldberg
| Conformal differential geometry and its generalizations [[electronic resource] /] / Maks A. Akivis, Vladislav V. Goldberg |
| Autore | Akivis M. A (Maks Aĭzikovich) |
| Pubbl/distr/stampa | New York, : Wiley, c1996 |
| Descrizione fisica | 1 online resource (404 p.) |
| Disciplina | 516.36 |
| Altri autori (Persone) | GolʹdbergV. V (Vladislav Viktorovich) |
| Collana | Pure and applied mathematics |
| Soggetto topico | Geometry, Differential |
| ISBN |
1-283-28111-2
9786613281111 1-118-03263-2 1-118-03088-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Conformal Differential Geometry and Its Generalizations; Contents; Introduction; CHAPTER 1 CONFORMAL AND PSEUDOCONFORMAL SPACES; 1.1 Conformal transformations and conformal spaces; 1.2 Moving frames in a conformai space; 1.3 Pseudoconformal spaces; 1.4 Examples of pseudoconformal spaces; Notes; CHAPTER 2 HYPERSURFACES IN CONFORMAL SPACES; 2.1 Fundamental objects and tensors of a hypersurface; 2.2 Invariant normalization of hypersurfaces; 2.3 The rigidity theorem and the fundamental theorem; 2.4 Curvature lines of a hypersurface; 2.5 Geometric problems connected with the tensor cij; Notes
CHAPTER 3 SUBMANIFOLDS IN CONFORMAL AND PSEUDOCONFORMAL SPACES3.1 Geometry of a submanifold in a conformai space; 3.2 Submanifolds carrying a net of curvature lines; 3.3 Submanifolds in a pseudoconformal space; 3.4 Line submanifolds of a three-dimensional projective space; Notes; CHAPTER 4 CONFORMAL, STRUCTURES ON A DIFFERENTIABLE MANIFOLD; 4.1 A manifold with a conformal structure; 4.2 Weyl connections and Riemannian metrics compatible with a conformal structure; 4.3 A conformal structure on submanifolds of a conformal space; 4.4 A conformal structure on a hypersurface of a projective space NotesCHAPTER 5 THE FOUR-DIMENSIONAL CONFORMAL STRUCTURES; 5.1 Structure equations of the CO(2, 2)-structure; 5.2 The (70(1, 3)-structure and the CO(4, 0)-structure; 5.3 The Hodge operator; 5.4 Completely isotropic submanifolds of four-dimensional conformal structures; 5.5 Four-dimensional webs and CO(2, 2)-structures; 5.6 Conformal structures of some metrics in general relativity; 5.7 Conformal structures on a four-dimensional hypersurface; Notes; CHAPTER 6 GEOMETRY OF THE GRASSMANN MANIFOLD; 6.1 Analytic geometry of the Grassmannian and the Grassmann mapping 6.2 Geometry of the Grassmannian G(l, 4)6.3 Differential geometry of the Grassmannian; 6.4 Submanifolds of the Grassmannian G(m, n); 6.5 Normalization of the Grassmann manifold; 6.6 Homogeneous normalization of the Grassmann manifold; Notes; CHAPTER 7 MANIFOLDS ENDOWED WITH ALMOST GRASSMANN STRUCTURES; 7.1 Almost Grassmann structures on a differentiable manifold; 7.2 Structure equations and torsion tensor of an almost Grassmann manifold; 7.3 The complete structure object of an almost Grassmann manifold; 7.4 Manifolds endowed with semiintegrable almost Grassmann structures 7.5 Multidimensional [p + l)-webs and almost Grassmann structures associated with them7.6 Grassmann (p + l)-webs; 7.7 Transversally geodesic and isoclinic (p + l)-webs; 7.8 Grassmannizable d-webs; Notes; Bibliography; Symbols Frequently Used; Author Index; Subject Index |
| Record Nr. | UNINA-9910139577403321 |
Akivis M. A (Maks Aĭzikovich)
|
||
| New York, : Wiley, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Conformal differential geometry and its generalizations [[electronic resource] /] / Maks A. Akivis, Vladislav V. Goldberg
| Conformal differential geometry and its generalizations [[electronic resource] /] / Maks A. Akivis, Vladislav V. Goldberg |
| Autore | Akivis M. A (Maks Aĭzikovich) |
| Pubbl/distr/stampa | New York, : Wiley, c1996 |
| Descrizione fisica | 1 online resource (404 p.) |
| Disciplina | 516.36 |
| Altri autori (Persone) | GolʹdbergV. V (Vladislav Viktorovich) |
| Collana | Pure and applied mathematics |
| Soggetto topico | Geometry, Differential |
| ISBN |
1-283-28111-2
9786613281111 1-118-03263-2 1-118-03088-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Conformal Differential Geometry and Its Generalizations; Contents; Introduction; CHAPTER 1 CONFORMAL AND PSEUDOCONFORMAL SPACES; 1.1 Conformal transformations and conformal spaces; 1.2 Moving frames in a conformai space; 1.3 Pseudoconformal spaces; 1.4 Examples of pseudoconformal spaces; Notes; CHAPTER 2 HYPERSURFACES IN CONFORMAL SPACES; 2.1 Fundamental objects and tensors of a hypersurface; 2.2 Invariant normalization of hypersurfaces; 2.3 The rigidity theorem and the fundamental theorem; 2.4 Curvature lines of a hypersurface; 2.5 Geometric problems connected with the tensor cij; Notes
CHAPTER 3 SUBMANIFOLDS IN CONFORMAL AND PSEUDOCONFORMAL SPACES3.1 Geometry of a submanifold in a conformai space; 3.2 Submanifolds carrying a net of curvature lines; 3.3 Submanifolds in a pseudoconformal space; 3.4 Line submanifolds of a three-dimensional projective space; Notes; CHAPTER 4 CONFORMAL, STRUCTURES ON A DIFFERENTIABLE MANIFOLD; 4.1 A manifold with a conformal structure; 4.2 Weyl connections and Riemannian metrics compatible with a conformal structure; 4.3 A conformal structure on submanifolds of a conformal space; 4.4 A conformal structure on a hypersurface of a projective space NotesCHAPTER 5 THE FOUR-DIMENSIONAL CONFORMAL STRUCTURES; 5.1 Structure equations of the CO(2, 2)-structure; 5.2 The (70(1, 3)-structure and the CO(4, 0)-structure; 5.3 The Hodge operator; 5.4 Completely isotropic submanifolds of four-dimensional conformal structures; 5.5 Four-dimensional webs and CO(2, 2)-structures; 5.6 Conformal structures of some metrics in general relativity; 5.7 Conformal structures on a four-dimensional hypersurface; Notes; CHAPTER 6 GEOMETRY OF THE GRASSMANN MANIFOLD; 6.1 Analytic geometry of the Grassmannian and the Grassmann mapping 6.2 Geometry of the Grassmannian G(l, 4)6.3 Differential geometry of the Grassmannian; 6.4 Submanifolds of the Grassmannian G(m, n); 6.5 Normalization of the Grassmann manifold; 6.6 Homogeneous normalization of the Grassmann manifold; Notes; CHAPTER 7 MANIFOLDS ENDOWED WITH ALMOST GRASSMANN STRUCTURES; 7.1 Almost Grassmann structures on a differentiable manifold; 7.2 Structure equations and torsion tensor of an almost Grassmann manifold; 7.3 The complete structure object of an almost Grassmann manifold; 7.4 Manifolds endowed with semiintegrable almost Grassmann structures 7.5 Multidimensional [p + l)-webs and almost Grassmann structures associated with them7.6 Grassmann (p + l)-webs; 7.7 Transversally geodesic and isoclinic (p + l)-webs; 7.8 Grassmannizable d-webs; Notes; Bibliography; Symbols Frequently Used; Author Index; Subject Index |
| Record Nr. | UNINA-9910830239803321 |
|
Akivis M. A (Maks Aĭzikovich)
|
||
| New York, : Wiley, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Conformal differential geometry and its generalizations [[electronic resource] /] / Maks A. Akivis, Vladislav V. Goldberg
| Conformal differential geometry and its generalizations [[electronic resource] /] / Maks A. Akivis, Vladislav V. Goldberg |
| Autore | Akivis M. A (Maks Aĭzikovich) |
| Pubbl/distr/stampa | New York, : Wiley, c1996 |
| Descrizione fisica | 1 online resource (404 p.) |
| Disciplina | 516.36 |
| Altri autori (Persone) | GolʹdbergV. V (Vladislav Viktorovich) |
| Collana | Pure and applied mathematics |
| Soggetto topico | Geometry, Differential |
| ISBN |
1-283-28111-2
9786613281111 1-118-03263-2 1-118-03088-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Conformal Differential Geometry and Its Generalizations; Contents; Introduction; CHAPTER 1 CONFORMAL AND PSEUDOCONFORMAL SPACES; 1.1 Conformal transformations and conformal spaces; 1.2 Moving frames in a conformai space; 1.3 Pseudoconformal spaces; 1.4 Examples of pseudoconformal spaces; Notes; CHAPTER 2 HYPERSURFACES IN CONFORMAL SPACES; 2.1 Fundamental objects and tensors of a hypersurface; 2.2 Invariant normalization of hypersurfaces; 2.3 The rigidity theorem and the fundamental theorem; 2.4 Curvature lines of a hypersurface; 2.5 Geometric problems connected with the tensor cij; Notes
CHAPTER 3 SUBMANIFOLDS IN CONFORMAL AND PSEUDOCONFORMAL SPACES3.1 Geometry of a submanifold in a conformai space; 3.2 Submanifolds carrying a net of curvature lines; 3.3 Submanifolds in a pseudoconformal space; 3.4 Line submanifolds of a three-dimensional projective space; Notes; CHAPTER 4 CONFORMAL, STRUCTURES ON A DIFFERENTIABLE MANIFOLD; 4.1 A manifold with a conformal structure; 4.2 Weyl connections and Riemannian metrics compatible with a conformal structure; 4.3 A conformal structure on submanifolds of a conformal space; 4.4 A conformal structure on a hypersurface of a projective space NotesCHAPTER 5 THE FOUR-DIMENSIONAL CONFORMAL STRUCTURES; 5.1 Structure equations of the CO(2, 2)-structure; 5.2 The (70(1, 3)-structure and the CO(4, 0)-structure; 5.3 The Hodge operator; 5.4 Completely isotropic submanifolds of four-dimensional conformal structures; 5.5 Four-dimensional webs and CO(2, 2)-structures; 5.6 Conformal structures of some metrics in general relativity; 5.7 Conformal structures on a four-dimensional hypersurface; Notes; CHAPTER 6 GEOMETRY OF THE GRASSMANN MANIFOLD; 6.1 Analytic geometry of the Grassmannian and the Grassmann mapping 6.2 Geometry of the Grassmannian G(l, 4)6.3 Differential geometry of the Grassmannian; 6.4 Submanifolds of the Grassmannian G(m, n); 6.5 Normalization of the Grassmann manifold; 6.6 Homogeneous normalization of the Grassmann manifold; Notes; CHAPTER 7 MANIFOLDS ENDOWED WITH ALMOST GRASSMANN STRUCTURES; 7.1 Almost Grassmann structures on a differentiable manifold; 7.2 Structure equations and torsion tensor of an almost Grassmann manifold; 7.3 The complete structure object of an almost Grassmann manifold; 7.4 Manifolds endowed with semiintegrable almost Grassmann structures 7.5 Multidimensional [p + l)-webs and almost Grassmann structures associated with them7.6 Grassmann (p + l)-webs; 7.7 Transversally geodesic and isoclinic (p + l)-webs; 7.8 Grassmannizable d-webs; Notes; Bibliography; Symbols Frequently Used; Author Index; Subject Index |
| Record Nr. | UNINA-9910840628903321 |
|
Akivis M. A (Maks Aĭzikovich)
|
||
| New York, : Wiley, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||