Geometry of Hessian manifolds
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Hirohiko Shima; Katsumi Yagi
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Article
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1997
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Elsevier Science
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English
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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