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An intrinsic approach to Lichnerowicz conjecture

DSpace at IIT Bombay

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Field Value
 
Title An intrinsic approach to Lichnerowicz conjecture
 
Creator RANJAN, A
 
Subject p-manifolds
eigenvalue
harmonic manifolds
blaschke manifold
mean curvature
jacobi differential equation
ricci curvature
compact rank one symmetric spaces
nice embeddings
 
Description In this paper we give a proof of Lichnerowicz conjecture for compact simply connected manifolds which is intrinsic in the sense that it avoids the nice embeddings into eigenspaces of the Laplacian. Even if one wants to use these embeddings, this paper gives a more streamlined proof. As a byproduct, we get a simple criterion for a polynomial to be a Jacobi polynomial.
 
Publisher INDIAN ACADEMY SCIENCES
 
Date 2011-08-02T00:36:37Z
2011-12-26T12:53:34Z
2011-12-27T05:40:03Z
2011-08-02T00:36:37Z
2011-12-26T12:53:34Z
2011-12-27T05:40:03Z
2000
 
Type Article
 
Identifier PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 110(1), 27-34
0253-4142
http://dx.doi.org/10.1007/BF02829478
http://dspace.library.iitb.ac.in/xmlui/handle/10054/8594
http://hdl.handle.net/10054/8594
 
Language en