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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Compact riemannian manifolds with essential groups of conformorphisms.


Authors: A. J. Ledger and Morio Obata
Journal: Trans. Amer. Math. Soc. 150 (1970), 645-651
MSC: Primary 53.72
DOI: https://doi.org/10.1090/S0002-9947-1970-0262971-1
MathSciNet review: 0262971
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Abstract: A solution to the following conjecture: A compact connected riemannian $ n$-manifold $ (n > 2)$ with an essential group of conformorphisms is conformorphic to a euclidean $ n$-sphere.


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DOI: https://doi.org/10.1090/S0002-9947-1970-0262971-1
Keywords: Conformorphism, essential (inessential) group of conformorphisms
Article copyright: © Copyright 1970 American Mathematical Society