Tohoku Mathematical Journal
2013

March
SECOND SERIES VOL. 65, NO. 1

Tohoku Math. J.
65 (2013), 31-42

Title HESSIAN MANIFOLDS OF NONPOSITIVE CONSTANT HESSIAN SECTIONAL CURVATURE

Author Hitoshi Furuhata and Takashi Kurose

(Received December 5, 2011)
Abstract. We classify the maximal Hessian manifolds of constant Hessaian sectional curvature nonpositive.

2000 Mathematics Subject Classification. Primary 53A15; Secondary 53C05, 53C25.

Key words and phrases. Hessian structure, constant curvature, multinomial distribution.

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