Finsler Geometry : Joint Summer Research Conference on Finsler Geometry, July 16-20, 1995, Seattle, Washington.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bao, David
Otros Autores: Shen, Zhongmin
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1996.
Colección:Contemporary Mathematics.
Temas:
Finsler spaces > Congresses.
Geometry, Differential > Congresses.
Espaces de Finsler > Congrès.
Géométrie différentielle > Congrès.
Finsler spaces
Geometry, Differential
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Foreword
  • Paul Finsler and friends
  • Section 1: Finsler Geometry over the Reals
  • 0. Preface
  • 1. On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces
  • 2. Finsler structures on the 2-sphere satisfying K = 1
  • 3. Integral geometry in Minkowski spaces
  • 4. Riemannian geometry as a special case of Finsler geometry
  • 5. Dirac operators for Finsler spaces
  • 6. Special eigenforms on the sphere bundle of a Finsler manifold
  • 7. Remarks on Berwald and Landsberg spaces
  • 8. Finsler manifolds of constant positive curvature
  • ""Section 2: Complex Finsler Geometry""""0. Preface""; ""1. Finsler metrics of constant curvature and the characterization of tube domains""; ""2. Some remarks on locally conformal complex Berwald spaces""; ""3. Variations of holomorphic curvature for KÃ?hler Finsler metrics""; ""4. The equivalence problem for complex Finsler Hamiltonians""; ""5. Complex Finsler vector bundles""; ""Section 3: Generalized Finsler Metrics""; ""0. Preface""; ""1. Certain generalizations of Finsler metrics""; ""2. A historical remark on the connections of Chern and Rund""
  • 3. On Landsberg spaces and holonomy of Finsler manifolds4. Some problems in the geometries of Finsler type
  • Section 4: Applications to Biology, Engineering, and Physics
  • 0. Preface
  • 1. On y-Berwald spaces of dimension two and associated heterochronic systems with Finslerian noise
  • 2. On physical applications of Finsler geometry
  • Section 5: Applications to Control Theory
  • 0. Preface
  • 1. A pseudo-group isomorphism between control systems and certain generalized Finsler structures
  • 2. Finsler geometry in low dimensional control theory
  • Section 6: Applications to Relativistic Field Theory0. Preface
  • 1. Finsler geometry and a unified field theory
  • 2. Finslerian spacetime
  • 3. Symmetry in Finsler spaces
  • 4. Elementary geometries underlying the theory of Euclidean connections on Finsler metrics of Lorentzian signature

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