Tohoku Mathematical Journal
2010
December
SECOND SERIES VOL. 62, NO. 4

Tohoku Math. J.
62 (2010), 575-578

Title NON EXISTENCE OF HOMOGENEOUS CONTACT METRIC MANIFOLDS OF NON POSITIVE CURVATURE

Author Antonio Lotta

(Received April 2, 2010)
Abstract. We prove that there exist no simply connected homogeneous contact metric manifolds having nonpositive sectional curvature.

2000 Mathematics Subject Classification. Primary 53C25; Secondary 53D10, 53C30.
Key words and phrases. Contact metric manifold, homogeneous Riemannian space of nonpositive curvature.

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