Conformality and Isometry of Riemannian Manifolds to Spheres
Open Access
- 1 January 1972
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 163, 65-73
- https://doi.org/10.2307/1995707
Abstract
Suppose that a compact Riemannian manifold of dimension admits an infinitesimal nonisometric conformal transformation . Some curvature conditions are given for to be conformal or isometric to an -sphere under the initial assumption that , where is the operator of the infinitesimal transformation and is the scalar curvature of . For some special cases, these conditions were given by Yano [10] and Hsiung [2].Keywords
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