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On geometry of weakly cosymplectic manifolds

✍ Scribed by V. F. Kirichenko; E. V. Kusova


Publisher
Springer US
Year
2011
Tongue
English
Weight
133 KB
Volume
177
Category
Article
ISSN
1573-8795

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Geometry of Hessian manifolds
✍ Hirohiko Shima; Katsumi Yagi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 906 KB

Let M be an aftine manifold with a flat affme connection D. A Riemannian metric g on M is said to be a Hessian metric if g has a local expression g = D'u. A manifold M provided with such a pair (D, g) is called a Hessian manifold. We first prove the convexity of a Hessian manifold. We give a Weitzen