The geometry of Hessian structures /

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The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kählerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous spaces and cohomology. The theory also find...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Shima, Hirohiko
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hackensack, N.J. : World Scientific, ©2007.
Temas:
Geometry, Differential.
Homology theory.
Homogeneous spaces.
Manifolds (Mathematics)
Géométrie différentielle.
Homologie.
Espaces homogènes.
Variétés (Mathématiques)
MATHEMATICS > Geometry > Differential.
Geometry, Differential
Homogeneous spaces
Homology theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; Introduction; Contents; 1. Affine spaces and connections; 2. Hessian structures; 3. Curvatures for Hessian structures; 4. Regular convex cones; 5. Hessian structures and affine differential geometry; 6. Hessian structures and information geometry; 7. Cohomology on at manifolds; 8. Compact Hessian manifolds; 9. Symmetric spaces with invariant Hessian structures; 10. Homogeneous spaces with invariant Hessian structures; 11. Homogeneous spaces with invariant projectively at connections; Bibliography; Index.

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