IJPAM: Volume 18, No. 3 (2005)

DIFFERENTIAL STRUCTURES OF
RIEMANNIAN HOMOGENEOUS SPACE $R^{2n}\backslash (0)$

Joon-Sik Park
Department of Mathematics
Pusan University of Foreign Studies
55-1, Uam-Dong, Nam-Ku, Pusan, 608-738, KOREA
e-mail: iohpark@taejo.pufs.ac.kr


Abstract.The purpose of this paper is to construct a $2n$-dimensional Riemannian manifold $(M,g)$ of which the hypersurface $S^{2n-1}$ is totally geodesic and to study differential structures of such an ambient manifold $(M,g)$.

Received: December 30, 2004

AMS Subject Classification: 53C07, 53C30, 58E11

Key Words and Phrases: totally geodesic, naturally reductive homogeneous Riemannian manifolds, (almost) complex structures

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 18
Issue: 3