IJPAM: Volume 34, No. 2 (2007)
ON THE LUSTERNIK-SCHNIRELMANN CATEGORY
OF REAL STIEFEL MANIFOLDS
OF REAL STIEFEL MANIFOLDS
Yasukuni Furukawa
Department of Mathematics
Faculty of Education
Aichi University
Igaya cho Kariya shi Aichi, 448-8542, JAPAN
e-mail: [email protected]
Department of Mathematics
Faculty of Education
Aichi University
Igaya cho Kariya shi Aichi, 448-8542, JAPAN
e-mail: [email protected]
Abstract.The purpose of this note is to study the Lusternik-Schnirelmann category of manifolds. In particular we investigate the Lusternik-Schnirelmann category of real Stiefel manifolds and the special orthogonal groups.
Received: October 27, 2006
AMS Subject Classification: 55M30, 57T15
Key Words and Phrases: Lusternik-Schnirelmann category, Stiefel-manifolds, orthogonal groups
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 2