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Geometric realizations of curvature [[electronic resource] /] / Miguel Brozos Vázquez, Peter B. Gilkey, Stana Nikcevic
| Geometric realizations of curvature [[electronic resource] /] / Miguel Brozos Vázquez, Peter B. Gilkey, Stana Nikcevic |
| Autore | Brozos-Vázquez Miguel |
| Pubbl/distr/stampa | London, : Imperial College Press, 2012 |
| Descrizione fisica | 1 online resource (263 p.) |
| Disciplina | 516 |
| Altri autori (Persone) |
GilkeyPeter B
NikcevicStana |
| Collana | ICP advanced texts in mathematics |
| Soggetto topico |
Curvature
Geometry |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-66899-7
9786613645920 1-84816-742-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction and Statement of Results; 1.1 Notational Conventions; 1.2 Representation Theory; 1.3 Affine Structures; 1.4 Mixed Structures; 1.5 Affine Kahler Structures; 1.6 Riemannian Structures; 1.7 Weyl Geometry I; 1.8 Almost Pseudo-Hermitian Geometry; 1.9 The Gray Identity; 1.10 Kahler Geometry in the Riemannian Setting I; 1.11 Curvature Kahler-Weyl Geometry; 1.12 The Covariant Derivative of the Kahler Form I; 1.13 Hyper-Hermitian Geometry; 2. Representation Theory; 2.1 Modules for a Group G; 2.2 Quadratic Invariants; 2.3 Weyl's Theory of Invariants
2.4 Some Orthogonal Modules2.5 Some Unitary Modules; 2.6 Compact Lie Groups; 3. Connections, Curvature, and Differential Geometry; 3.1 Affine Connections; 3.2 Equiaffine Connections; 3.3 The Levi-Civita Connection; 3.4 Complex Geometry; 3.5 The Gray Identity; 3.6 Kahler Geometry in the Riemannian Setting II; 4. Real Affine Geometry; 4.1 Decomposition of and as Orthogonal Modules; 4.2 The Modules R, S2 0 , and Λ2 in; 4.3 The Modules WO6 , WO7 , and WO8 in; 4.4 Decomposition of as a General Linear Module; 4.5 Geometric Realizability of Affine Curvature Operators 4.6 Decomposition of as an Orthogonal Module5. Affine Kahler Geometry; 5.1 Affine Kahler Curvature Tensor Quadratic Invariants; 5.2 The Ricci Tensor for a Kahler Affine Connection; 5.3 Constructing Affine (Para)-Kahler Manifolds; 5.4 Affine Kahler Curvature Operators; 5.5 Affine Para-Kahler Curvature Operators; 5.6 Structure of as a GL Module; 6. Riemannian Geometry; 6.1 The Riemann Curvature Tensor; 6.2 The Weyl Conformal Curvature Tensor; 6.3 The Cauchy-Kovalevskaya Theorem; 6.4 Geometric Realizations of Riemann Curvature Tensors; 6.5 Weyl Geometry II; 7. Complex Riemannian Geometry 7.1 The Decomposition of as Modules over7.2 The Submodules of Arising from the Ricci Tensors; 7.3 Para-Hermitian and Pseudo-Hermitian Geometry; 7.4 Almost Para-Hermitian and Almost Pseudo-Hermitian Geometry; 7.5 Kahler Geometry in the Riemannian Setting III; 7.6 Complex Weyl Geometry; 7.7 The Covariant Derivative of the Kahler Form II; Notational Conventions; Bibliography; Index |
| Record Nr. | UNINA-9910451572103321 |
Brozos-Vázquez Miguel
|
||
| London, : Imperial College Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric realizations of curvature [[electronic resource] /] / Miguel Brozos Vázquez, Peter B. Gilkey, Stana Nikcevic
| Geometric realizations of curvature [[electronic resource] /] / Miguel Brozos Vázquez, Peter B. Gilkey, Stana Nikcevic |
| Autore | Brozos-Vázquez Miguel |
| Pubbl/distr/stampa | London, : Imperial College Press, 2012 |
| Descrizione fisica | 1 online resource (263 p.) |
| Disciplina | 516 |
| Altri autori (Persone) |
GilkeyPeter B
NikcevicStana |
| Collana | ICP advanced texts in mathematics |
| Soggetto topico |
Curvature
Geometry |
| ISBN |
1-280-66899-7
9786613645920 1-84816-742-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction and Statement of Results; 1.1 Notational Conventions; 1.2 Representation Theory; 1.3 Affine Structures; 1.4 Mixed Structures; 1.5 Affine Kahler Structures; 1.6 Riemannian Structures; 1.7 Weyl Geometry I; 1.8 Almost Pseudo-Hermitian Geometry; 1.9 The Gray Identity; 1.10 Kahler Geometry in the Riemannian Setting I; 1.11 Curvature Kahler-Weyl Geometry; 1.12 The Covariant Derivative of the Kahler Form I; 1.13 Hyper-Hermitian Geometry; 2. Representation Theory; 2.1 Modules for a Group G; 2.2 Quadratic Invariants; 2.3 Weyl's Theory of Invariants
2.4 Some Orthogonal Modules2.5 Some Unitary Modules; 2.6 Compact Lie Groups; 3. Connections, Curvature, and Differential Geometry; 3.1 Affine Connections; 3.2 Equiaffine Connections; 3.3 The Levi-Civita Connection; 3.4 Complex Geometry; 3.5 The Gray Identity; 3.6 Kahler Geometry in the Riemannian Setting II; 4. Real Affine Geometry; 4.1 Decomposition of and as Orthogonal Modules; 4.2 The Modules R, S2 0 , and Λ2 in; 4.3 The Modules WO6 , WO7 , and WO8 in; 4.4 Decomposition of as a General Linear Module; 4.5 Geometric Realizability of Affine Curvature Operators 4.6 Decomposition of as an Orthogonal Module5. Affine Kahler Geometry; 5.1 Affine Kahler Curvature Tensor Quadratic Invariants; 5.2 The Ricci Tensor for a Kahler Affine Connection; 5.3 Constructing Affine (Para)-Kahler Manifolds; 5.4 Affine Kahler Curvature Operators; 5.5 Affine Para-Kahler Curvature Operators; 5.6 Structure of as a GL Module; 6. Riemannian Geometry; 6.1 The Riemann Curvature Tensor; 6.2 The Weyl Conformal Curvature Tensor; 6.3 The Cauchy-Kovalevskaya Theorem; 6.4 Geometric Realizations of Riemann Curvature Tensors; 6.5 Weyl Geometry II; 7. Complex Riemannian Geometry 7.1 The Decomposition of as Modules over7.2 The Submodules of Arising from the Ricci Tensors; 7.3 Para-Hermitian and Pseudo-Hermitian Geometry; 7.4 Almost Para-Hermitian and Almost Pseudo-Hermitian Geometry; 7.5 Kahler Geometry in the Riemannian Setting III; 7.6 Complex Weyl Geometry; 7.7 The Covariant Derivative of the Kahler Form II; Notational Conventions; Bibliography; Index |
| Record Nr. | UNINA-9910779286003321 |
|
Brozos-Vázquez Miguel
|
||
| London, : Imperial College Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric realizations of curvature / / Miguel Brozos Vázquez, Peter B. Gilkey, Stana Nikcevic
| Geometric realizations of curvature / / Miguel Brozos Vázquez, Peter B. Gilkey, Stana Nikcevic |
| Autore | Brozos-Vázquez Miguel |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, : Imperial College Press, 2012 |
| Descrizione fisica | 1 online resource (263 p.) |
| Disciplina | 516 |
| Altri autori (Persone) |
GilkeyPeter B
NikcevicStana |
| Collana | ICP advanced texts in mathematics |
| Soggetto topico |
Curvature
Geometry |
| ISBN |
1-280-66899-7
9786613645920 1-84816-742-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction and Statement of Results; 1.1 Notational Conventions; 1.2 Representation Theory; 1.3 Affine Structures; 1.4 Mixed Structures; 1.5 Affine Kahler Structures; 1.6 Riemannian Structures; 1.7 Weyl Geometry I; 1.8 Almost Pseudo-Hermitian Geometry; 1.9 The Gray Identity; 1.10 Kahler Geometry in the Riemannian Setting I; 1.11 Curvature Kahler-Weyl Geometry; 1.12 The Covariant Derivative of the Kahler Form I; 1.13 Hyper-Hermitian Geometry; 2. Representation Theory; 2.1 Modules for a Group G; 2.2 Quadratic Invariants; 2.3 Weyl's Theory of Invariants
2.4 Some Orthogonal Modules2.5 Some Unitary Modules; 2.6 Compact Lie Groups; 3. Connections, Curvature, and Differential Geometry; 3.1 Affine Connections; 3.2 Equiaffine Connections; 3.3 The Levi-Civita Connection; 3.4 Complex Geometry; 3.5 The Gray Identity; 3.6 Kahler Geometry in the Riemannian Setting II; 4. Real Affine Geometry; 4.1 Decomposition of and as Orthogonal Modules; 4.2 The Modules R, S2 0 , and Λ2 in; 4.3 The Modules WO6 , WO7 , and WO8 in; 4.4 Decomposition of as a General Linear Module; 4.5 Geometric Realizability of Affine Curvature Operators 4.6 Decomposition of as an Orthogonal Module5. Affine Kahler Geometry; 5.1 Affine Kahler Curvature Tensor Quadratic Invariants; 5.2 The Ricci Tensor for a Kahler Affine Connection; 5.3 Constructing Affine (Para)-Kahler Manifolds; 5.4 Affine Kahler Curvature Operators; 5.5 Affine Para-Kahler Curvature Operators; 5.6 Structure of as a GL Module; 6. Riemannian Geometry; 6.1 The Riemann Curvature Tensor; 6.2 The Weyl Conformal Curvature Tensor; 6.3 The Cauchy-Kovalevskaya Theorem; 6.4 Geometric Realizations of Riemann Curvature Tensors; 6.5 Weyl Geometry II; 7. Complex Riemannian Geometry 7.1 The Decomposition of as Modules over7.2 The Submodules of Arising from the Ricci Tensors; 7.3 Para-Hermitian and Pseudo-Hermitian Geometry; 7.4 Almost Para-Hermitian and Almost Pseudo-Hermitian Geometry; 7.5 Kahler Geometry in the Riemannian Setting III; 7.6 Complex Weyl Geometry; 7.7 The Covariant Derivative of the Kahler Form II; Notational Conventions; Bibliography; Index |
| Record Nr. | UNINA-9910824010003321 |
|
Brozos-Vázquez Miguel
|
||
| London, : Imperial College Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||