Ebook: Complex, Contact and Symmetric Manifolds: In Honor of L. Vanhecke
- Tags: Geometry, Differential Geometry, Global Analysis and Analysis on Manifolds, Topological Groups Lie Groups, Algebraic Topology, Manifolds and Cell Complexes (incl. Diff.Topology)
- Series: Progress in Mathematics 234
- Year: 2005
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
This volume contains research and survey articles by well known and respected mathematicians on differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields.
The papers, all written with the necessary introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various applications of partial differential equations and differential systems to geometry. One of the key strengths of these articles is their appeal to non-specialists, as well as researchers and differential geometers.
Contributors: D.E. Blair; E. Boeckx; A.A. Borisenko; G. Calvaruso; V. Cortés; P. de Bartolomeis; J.C. Díaz-Ramos; M. Djoric; C. Dunn; M. Fernández; A. Fujiki; E. García-Río; P.B. Gilkey; O. Gil-Medrano; L. Hervella; O. Kowalski; V. Muñoz; M. Pontecorvo; A.M. Naveira; T. Oguro; L. Schäfer; K. Sekigawa; C-L. Terng; K. Tsukada; Z. Vlášek; E. Wang; and J.A. Wolf.
This volume contains research and survey articles by well known and respected mathematicians on differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields.
The papers, all written with the necessary introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various applications of partial differential equations and differential systems to geometry. One of the key strengths of these articles is their appeal to non-specialists, as well as researchers and differential geometers.
Contributors: D.E. Blair; E. Boeckx; A.A. Borisenko; G. Calvaruso; V. Cort?s; P. de Bartolomeis; J.C. D?az-Ramos; M. Djoric; C. Dunn; M. Fern?ndez; A. Fujiki; E. Garc?a-R?o; P.B. Gilkey; O. Gil-Medrano; L. Hervella; O. Kowalski; V. Mu?oz; M. Pontecorvo; A.M. Naveira; T. Oguro; L. Sch?fer; K. Sekigawa; C-L. Terng; K. Tsukada; Z. Vl??ek; E. Wang; and J.A. Wolf.
This volume contains research and survey articles by well known and respected mathematicians on differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields.
The papers, all written with the necessary introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various applications of partial differential equations and differential systems to geometry. One of the key strengths of these articles is their appeal to non-specialists, as well as researchers and differential geometers.
Contributors: D.E. Blair; E. Boeckx; A.A. Borisenko; G. Calvaruso; V. Cort?s; P. de Bartolomeis; J.C. D?az-Ramos; M. Djoric; C. Dunn; M. Fern?ndez; A. Fujiki; E. Garc?a-R?o; P.B. Gilkey; O. Gil-Medrano; L. Hervella; O. Kowalski; V. Mu?oz; M. Pontecorvo; A.M. Naveira; T. Oguro; L. Sch?fer; K. Sekigawa; C-L. Terng; K. Tsukada; Z. Vl??ek; E. Wang; and J.A. Wolf.
Content:
Front Matter....Pages i-viii
Curvature of Contact Metric Manifolds....Pages 1-13
A Case for Curvature: the Unit Tangent Bundle....Pages 15-26
Convex Hypersurfaces in Hadamard Manifolds....Pages 27-39
Contact Metric Geometry of the Unit Tangent Sphere Bundle....Pages 41-57
Topological-antitopological Fusion Equations, Pluriharmonic Maps and Special K?hler Manifolds....Pages 59-74
?2 and ?-Deformation Theory for Holomorphic and Symplectic Manifolds....Pages 75-103
Commutative Condition on the Second Fundamental Form of CR-submanifolds of Maximal CR-dimension of a K?hler Manifold....Pages 105-120
The Geography of Non-Formal Manifolds....Pages 121-129
Total Scalar Curvatures of Geodesic Spheres and of Boundaries of Geodesic Disks....Pages 131-143
Curvature Homogeneous Pseudo-Riemannian Manifolds which are not Locally Homogeneous....Pages 145-152
On Hermitian Geometry of Complex Surfaces....Pages 153-163
Unit Vector Fields that are Critical Points of the Volume and of the Energy: Characterization and Examples....Pages 165-186
On 3D-Riemannian Manifolds with Prescribed Ricci Eigenvalues....Pages 187-208
Two Problems in Real and Complex Integral Geometry....Pages 209-220
Notes on the Goldberg Conjecture in Dimension Four....Pages 221-233
Curved Flats, Exterior Differential Systems, and Conservation Laws....Pages 235-254
Symmetric Submanifolds of Riemannian Symmetric Spaces and Symmetric R-spaces....Pages 255-263
Complex Forms of Quaternionic Symmetric Spaces....Pages 265-277
This volume contains research and survey articles by well known and respected mathematicians on differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields.
The papers, all written with the necessary introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various applications of partial differential equations and differential systems to geometry. One of the key strengths of these articles is their appeal to non-specialists, as well as researchers and differential geometers.
Contributors: D.E. Blair; E. Boeckx; A.A. Borisenko; G. Calvaruso; V. Cort?s; P. de Bartolomeis; J.C. D?az-Ramos; M. Djoric; C. Dunn; M. Fern?ndez; A. Fujiki; E. Garc?a-R?o; P.B. Gilkey; O. Gil-Medrano; L. Hervella; O. Kowalski; V. Mu?oz; M. Pontecorvo; A.M. Naveira; T. Oguro; L. Sch?fer; K. Sekigawa; C-L. Terng; K. Tsukada; Z. Vl??ek; E. Wang; and J.A. Wolf.
Content:
Front Matter....Pages i-viii
Curvature of Contact Metric Manifolds....Pages 1-13
A Case for Curvature: the Unit Tangent Bundle....Pages 15-26
Convex Hypersurfaces in Hadamard Manifolds....Pages 27-39
Contact Metric Geometry of the Unit Tangent Sphere Bundle....Pages 41-57
Topological-antitopological Fusion Equations, Pluriharmonic Maps and Special K?hler Manifolds....Pages 59-74
?2 and ?-Deformation Theory for Holomorphic and Symplectic Manifolds....Pages 75-103
Commutative Condition on the Second Fundamental Form of CR-submanifolds of Maximal CR-dimension of a K?hler Manifold....Pages 105-120
The Geography of Non-Formal Manifolds....Pages 121-129
Total Scalar Curvatures of Geodesic Spheres and of Boundaries of Geodesic Disks....Pages 131-143
Curvature Homogeneous Pseudo-Riemannian Manifolds which are not Locally Homogeneous....Pages 145-152
On Hermitian Geometry of Complex Surfaces....Pages 153-163
Unit Vector Fields that are Critical Points of the Volume and of the Energy: Characterization and Examples....Pages 165-186
On 3D-Riemannian Manifolds with Prescribed Ricci Eigenvalues....Pages 187-208
Two Problems in Real and Complex Integral Geometry....Pages 209-220
Notes on the Goldberg Conjecture in Dimension Four....Pages 221-233
Curved Flats, Exterior Differential Systems, and Conservation Laws....Pages 235-254
Symmetric Submanifolds of Riemannian Symmetric Spaces and Symmetric R-spaces....Pages 255-263
Complex Forms of Quaternionic Symmetric Spaces....Pages 265-277
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