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Busemann functions in a harmonic manifold

DSpace at IIT Bombay

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Title Busemann functions in a harmonic manifold
 
Creator RANJAN, A
SHAH, H
 
Subject harmonic manifolds
busemann functions
horospheres
bi-asymptotes
 
Description For a noncompact complete and simply connected harmonic manifold M, we prove the analyticity of Busemann functions on M. This is the main result of this paper. An application of it shows that the harmonic spaces having minimal horospheres have the bi-asymptotic property. Finally, we prove that the total Busemann function is continuous in C-infinity topology. As a consequence, we show that the uniform divergence of geodesics holds in these spaces.
 
Publisher KLUWER ACADEMIC PUBL
 
Date 2011-08-17T03:51:57Z
2011-12-26T12:55:19Z
2011-12-27T05:44:06Z
2011-08-17T03:51:57Z
2011-12-26T12:55:19Z
2011-12-27T05:44:06Z
2003
 
Type Article
 
Identifier GEOMETRIAE DEDICATA, 101(1), 167-183
0046-5755
http://dx.doi.org/10.1023/A:1026369930269
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9732
http://hdl.handle.net/10054/9732
 
Language en