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Substantial Riemannian submersions of S-15 with 7-dimensional fibres

DSpace at IIT Bombay

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Title Substantial Riemannian submersions of S-15 with 7-dimensional fibres
 
Creator RANJAN, A
 
Subject manifolds
theorem
riemannian submersions
euler class
connections
holonomy groups
second fundamental form
 
Description In this paper we show that a substantial Riemannian submersion of S-15 with 7-dimensional fibres is congruent to the standard Hopf fibration. As a consequence we prove a slightly weak form of the diameter rigidity theorem for the Cayley plane which is considerably stronger than the very recent radius rigidity theorem of Wilhelm.
 
Publisher INDIAN ACADEMY SCIENCES
 
Date 2011-08-02T08:03:25Z
2011-12-26T12:53:47Z
2011-12-27T05:40:47Z
2011-08-02T08:03:25Z
2011-12-26T12:53:47Z
2011-12-27T05:40:47Z
1997
 
Type Article
 
Identifier PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 107(3), 243-250
0253-4142
http://dx.doi.org/10.1007/BF02867255
http://dspace.library.iitb.ac.in/xmlui/handle/10054/8720
http://hdl.handle.net/10054/8720
 
Language en