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Finite dimensional imbeddings of harmonic spaces

DSpace at IIT Bombay

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Field Value
 
Title Finite dimensional imbeddings of harmonic spaces
 
Creator RAMACHANDRAN, K
RANJAN, A
 
Subject harmonic manifolds
eigen spaces
imbeddings
symmetric spaces
 
Description For a noncompact harmonic manifold M we establish finite dimensionality of the eigensubspaces V-lambda generated by radial eigenfunctions of the form cosh r + c. As a consequence, for such harmonic manifolds, we give an isometric imbedding of M into (V-lambda, B), where B is a nondegenerate symmetric bilinear indefinite form on V-lambda(analogous to the imbedding of the real hyperbolic space H-n into Rn+1 with the indefinite form Q(x,x) = -x(0)(2) + Sigma x(i)(2)). This imbedding is minimal in a 'sphere' in (V-lambda, B). Finally we give certain conditions under which M is symmetric.
 
Publisher INDIAN ACADEMY SCIENCES
 
Date 2011-08-02T03:43:29Z
2011-12-26T12:53:40Z
2011-12-27T05:40:27Z
2011-08-02T03:43:29Z
2011-12-26T12:53:40Z
2011-12-27T05:40:27Z
1998
 
Type Article
 
Identifier PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 108(1), 13-21
0253-4142
http://dspace.library.iitb.ac.in/xmlui/handle/10054/8644
http://hdl.handle.net/10054/8644
 
Language en