Ebook: New Developments in Differential Geometry, Budapest 1996: Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27–30, 1996
- Tags: Differential Geometry, Global Analysis and Analysis on Manifolds, Manifolds and Cell Complexes (incl. Diff.Topology), Applications of Mathematics, Theoretical Mathematical and Computational Physics
- Year: 1999
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
This book contains the proceedings of the Conference on Differential Geometry, held in Budapest, 1996. The papers presented here all give essential new results. A wide variety of topics in differential geometry is covered and applications are also studied. Beyond the traditional differential geometry subjects, several popular ones such as Einstein manifolds and symplectic geometry are also well represented.
Audience: This volume will be of interest to research mathematicians whose work involves differential geometry, global analysis, analysis on manifolds, manifolds and complexes, mathematics of physics, and relativity and gravitation.
This book contains the proceedings of the Conference on Differential Geometry, held in Budapest, 1996. The papers presented here all give essential new results. A wide variety of topics in differential geometry is covered and applications are also studied. Beyond the traditional differential geometry subjects, several popular ones such as Einstein manifolds and symplectic geometry are also well represented.
Audience: This volume will be of interest to research mathematicians whose work involves differential geometry, global analysis, analysis on manifolds, manifolds and complexes, mathematics of physics, and relativity and gravitation.
Content:
Front Matter....Pages i-xii
On the Theory of Almost Grassmann Structures....Pages 1-37
Homogeneous Spaces: From the Classical to the Quantum Case....Pages 39-51
Harmonic Spinors and Topology....Pages 53-66
Harmonic Maps Between Almost Para-Hermitian Manifolds....Pages 67-76
Fr?licher Spectral Sequence of Compact Nilmanifolds with Nilpotent Complex Structure....Pages 77-102
Equivariant Isometric Immersions....Pages 103-110
Coeffective Cohomology of Quaternionic K?hler Manifolds....Pages 111-121
Notes on Harmonic Tensor Fields....Pages 123-142
Harmonic Maps and F-Structures With Parallelizable Kernel....Pages 143-154
On the Betti Numbers of a Generalized Hopf Manifold....Pages 155-161
On Isocurved Deformations of a Homogeneous Riemannian Space....Pages 163-171
Fibre Integral in Regular Lie Algebroids....Pages 173-202
On Semi-Riemannian Submersions....Pages 203-211
Metric Covering Spaces and Applications....Pages 213-220
Time-Dependent Mechanical Systems With Non-Linear Constraints....Pages 221-234
On Uniqueness of Constant Mean Curvature Surfaces With Planar Boundary....Pages 235-242
Isometric Semiparallel Immersions of Two-Dimensional Riemannian Manifolds into Pseudo-Euclidean Spaces....Pages 243-264
On Characterization of Lipschitz Manifolds....Pages 265-277
On Projective Transformations of Riemannian Spaces With Harmonic Curvature....Pages 279-283
On the Equation Defining Isothermic Surfaces in Laguerre Geometry....Pages 285-294
Induced Hopf Bundles and Einstein Metrics....Pages 295-305
Connections on A-Bundles....Pages 307-316
Induced Semi-Sprays and Connections on Submanifolds....Pages 317-327
On Generalized Algebroids....Pages 329-342
Quantum and Integral Bordism Groups in the Navier-Stokes Equation....Pages 343-359
Optimal Control Problems on Matrix Lie Groups....Pages 361-373
Submanifolds with Restrictions on Q-Ricci Curvature....Pages 375-388
Weyl’s Volume of the Tube Formula Without Invariant Theory....Pages 389-395
Two Applications of a Method of Transplantation in Riemannian Geometry....Pages 397-410
Centroaffine Differential Geometry of (Positive) Definite Oriented Surfaces in ?4....Pages 411-428
Dynamics Induced by a Magnetic Field....Pages 429-442
Convex Programs on Finsler Manifolds....Pages 443-457
Connections on Principal Sheaves....Pages 459-483
On Orbits of Symmetric Subgroups in Riemannian Symmetric Spaces....Pages 485-501
On Leaves of Transversely Affine Foliations....Pages 503-509
Equivalence Problem Via the Nash-Moser Theorem....Pages 511-519
This book contains the proceedings of the Conference on Differential Geometry, held in Budapest, 1996. The papers presented here all give essential new results. A wide variety of topics in differential geometry is covered and applications are also studied. Beyond the traditional differential geometry subjects, several popular ones such as Einstein manifolds and symplectic geometry are also well represented.
Audience: This volume will be of interest to research mathematicians whose work involves differential geometry, global analysis, analysis on manifolds, manifolds and complexes, mathematics of physics, and relativity and gravitation.
Content:
Front Matter....Pages i-xii
On the Theory of Almost Grassmann Structures....Pages 1-37
Homogeneous Spaces: From the Classical to the Quantum Case....Pages 39-51
Harmonic Spinors and Topology....Pages 53-66
Harmonic Maps Between Almost Para-Hermitian Manifolds....Pages 67-76
Fr?licher Spectral Sequence of Compact Nilmanifolds with Nilpotent Complex Structure....Pages 77-102
Equivariant Isometric Immersions....Pages 103-110
Coeffective Cohomology of Quaternionic K?hler Manifolds....Pages 111-121
Notes on Harmonic Tensor Fields....Pages 123-142
Harmonic Maps and F-Structures With Parallelizable Kernel....Pages 143-154
On the Betti Numbers of a Generalized Hopf Manifold....Pages 155-161
On Isocurved Deformations of a Homogeneous Riemannian Space....Pages 163-171
Fibre Integral in Regular Lie Algebroids....Pages 173-202
On Semi-Riemannian Submersions....Pages 203-211
Metric Covering Spaces and Applications....Pages 213-220
Time-Dependent Mechanical Systems With Non-Linear Constraints....Pages 221-234
On Uniqueness of Constant Mean Curvature Surfaces With Planar Boundary....Pages 235-242
Isometric Semiparallel Immersions of Two-Dimensional Riemannian Manifolds into Pseudo-Euclidean Spaces....Pages 243-264
On Characterization of Lipschitz Manifolds....Pages 265-277
On Projective Transformations of Riemannian Spaces With Harmonic Curvature....Pages 279-283
On the Equation Defining Isothermic Surfaces in Laguerre Geometry....Pages 285-294
Induced Hopf Bundles and Einstein Metrics....Pages 295-305
Connections on A-Bundles....Pages 307-316
Induced Semi-Sprays and Connections on Submanifolds....Pages 317-327
On Generalized Algebroids....Pages 329-342
Quantum and Integral Bordism Groups in the Navier-Stokes Equation....Pages 343-359
Optimal Control Problems on Matrix Lie Groups....Pages 361-373
Submanifolds with Restrictions on Q-Ricci Curvature....Pages 375-388
Weyl’s Volume of the Tube Formula Without Invariant Theory....Pages 389-395
Two Applications of a Method of Transplantation in Riemannian Geometry....Pages 397-410
Centroaffine Differential Geometry of (Positive) Definite Oriented Surfaces in ?4....Pages 411-428
Dynamics Induced by a Magnetic Field....Pages 429-442
Convex Programs on Finsler Manifolds....Pages 443-457
Connections on Principal Sheaves....Pages 459-483
On Orbits of Symmetric Subgroups in Riemannian Symmetric Spaces....Pages 485-501
On Leaves of Transversely Affine Foliations....Pages 503-509
Equivalence Problem Via the Nash-Moser Theorem....Pages 511-519
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