Abstract
We prove that there exist no simply connected homogeneous contact metric manifolds having nonpositive sectional curvature.
Citation
Antonio Lotta. "Non existence of homogeneous contact metric manifolds of non positive curvature." Tohoku Math. J. (2) 62 (4) 575 - 578, 2010. https://doi.org/10.2748/tmj/1294170347
Information
Published: 2010
First available in Project Euclid: 4 January 2011
zbMATH: 1208.53055
MathSciNet: MR2768760
Digital Object Identifier: 10.2748/tmj/1294170347
Subjects:
Primary:
53C25
Secondary:
53C30
,
53D10
Keywords:
Contact metric manifold
,
homogeneous Riemannian space of nonpositive curvature
Rights: Copyright © 2010 Tohoku University
