Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 35 Issue 4
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- Pages.757-767
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
A CHARACTERIZATION OF SPACE FORMS
- Kim, Dong-Soo (Department of Mathematics, Chonnam National University) ;
- Kim, Young-Ho (Department of Mathematics Education, Teachers College, Kyungpook National University)
- Published : 1998.11.01
Abstract
For a Riemannian manifold $(M^n, g)$ we consider the space $V(M^n, g)$ of all smooth functions on $M^n$ whose Hessian is proportional to the metric tensor $g$. It is well-known that if