Year: 1962
Type: article
Abstract: In 1958, R. Bott and H. Samelson [8] defined the notion of K-cycles for every smooth complete Riemannian manifold M on which a compact connected Lie group K of isometries operates variationally completely, and showed that some K-cycles form a homology basis (mod 2 in general and integral in K-orientable cases) of some type of spaces of paths in M. They proved three kinds of variational completeness of K-actions related to symmetric spaces, and obtained many direct results....
Author: Shôrô Araki
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1483630611