Ebook: New Developments in Differential Geometry: Proceedings of the Colloquium on Differential Geometry, Debrecen, Hungary,July 26–30, 1994

This volume contains thirty-six research articles presented at the Colloquium on Differential Geometry, which was held in Debrecen, Hungary, July 26-30, 1994. The conference was a continuation in the series of the Colloquia of the János Bolyai Society.
The range covered reflects current activity in differential geometry. The main topics are Riemannian geometry, Finsler geometry, submanifold theory and applications to theoretical physics. Includes several interesting results by leading researchers in these fields: e.g. on non-commutative geometry, spin bordism groups, Cosserat continuum, field theories, second order differential equations, sprays, natural operators, higher order frame bundles, Sasakian and Kähler manifolds.
Audience: This book will be valuable for researchers and postgraduate students whose work involves differential geometry, global analysis, analysis on manifolds, relativity and gravitation and electromagnetic theory.

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This volume contains thirty-six research articles presented at the Colloquium on Differential Geometry, which was held in Debrecen, Hungary, July 26-30, 1994. The conference was a continuation in the series of the Colloquia of the J?nos Bolyai Society.
The range covered reflects current activity in differential geometry. The main topics are Riemannian geometry, Finsler geometry, submanifold theory and applications to theoretical physics. Includes several interesting results by leading researchers in these fields: e.g. on non-commutative geometry, spin bordism groups, Cosserat continuum, field theories, second order differential equations, sprays, natural operators, higher order frame bundles, Sasakian and K?hler manifolds.
Audience: This book will be valuable for researchers and postgraduate students whose work involves differential geometry, global analysis, analysis on manifolds, relativity and gravitation and electromagnetic theory.

---

This volume contains thirty-six research articles presented at the Colloquium on Differential Geometry, which was held in Debrecen, Hungary, July 26-30, 1994. The conference was a continuation in the series of the Colloquia of the J?nos Bolyai Society.
The range covered reflects current activity in differential geometry. The main topics are Riemannian geometry, Finsler geometry, submanifold theory and applications to theoretical physics. Includes several interesting results by leading researchers in these fields: e.g. on non-commutative geometry, spin bordism groups, Cosserat continuum, field theories, second order differential equations, sprays, natural operators, higher order frame bundles, Sasakian and K?hler manifolds.
Audience: This book will be valuable for researchers and postgraduate students whose work involves differential geometry, global analysis, analysis on manifolds, relativity and gravitation and electromagnetic theory.
Content:
Front Matter....Pages i-x
Hypercomplex structures on quaternionic manifolds....Pages 1-19
Time Inversion in Physics....Pages 21-23
Non Commutative Geometry of GLp-Bundles....Pages 25-49
The left exactness of the smooth left Puppe sequence....Pages 51-57
A linear connection associated with any second order differential equation field....Pages 59-76
Geometry of geodesic tubes on Sasakian manifolds....Pages 77-85
Classification of differential (n — 1)-forms on an n-dimensional manifold with boundary....Pages 87-101
Natural relations between connections in 2-fibred manifolds....Pages 103-112
Connections on higher order frame bundles....Pages 113-130
The Differential Geometry of Cosserat Media....Pages 131-142
The parametric-manifold approach to canonical gravity....Pages 143-164
Admissible operations and product preserving functors....Pages 165-177
Curvature Properties of Para-K?hler Manifolds....Pages 179-192
Four Dimensional Osserman Lorentzian Manifolds....Pages 193-200
The eta invariant and the equivariant spin bordism of spherical space form 2 groups....Pages 201-211
On locally conformal K?hler structures....Pages 213-223
Torsion-free connections on higher order frame bundles....Pages 225-231
The trace decomposition of tensors of type (1,2) and (1,3)....Pages 233-241
Higher-order constrained systems on fibered manifolds: An exterior differential systems approach....Pages 243-253
The method of separation of variables for Laplace-Beltrami equation in semi-Riemannian geometry....Pages 255-278
A geometrical approach to Classical Field Theories: a constraint algorithm for singular theories....Pages 279-290
Noether type theorems in higher order analytical mechanics....Pages 291-312
The electromagnetic field in the higher order relativistic geometrical optics....Pages 313-317
On a Riemannian approach to the order ? relative entropy....Pages 319-324
A differential equation related with some general connections....Pages 325-333
On quasi connections on fibred manifolds....Pages 335-342
Diffeomorphism groups of a manifold with boundary....Pages 343-352
Separability of time-dependent second-order equations....Pages 353-361
Symmetries of sprays and admissible Lagrangians....Pages 363-371
Curvature of submanifolds in point Finsler spaces....Pages 373-377
Special vector fields on a compact Riemannian manifold....Pages 379-390
Magnetic dynamical systems....Pages 391-397
Totally geodesic orbits in homogeneous spaces....Pages 399-405
Parallel and Transnormal Curves on Surfaces....Pages 407-414
Back Matter....Pages 415-421
....Pages 423-434