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Elliptic functions, theta function and hypersurfaces satisfying a basic equality

Published online by Cambridge University Press:  01 March 2001

BANG-YEN CHEN
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, U.S.A. e-mail: bychen@math.msu.edu, jyang@math.msu.edu
JIE YANG
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, U.S.A. e-mail: bychen@math.msu.edu, jyang@math.msu.edu

Abstract

(Volume 125 (1999), 463–509)

Case (x) in Theorem 6 is missing. The correct statement of Theorem 6 in the paper should read as follows.

THEOREM 6. Let x: MnHn+1 (−1) ⊂ [ ]n+21 (n > 2) be an isometric immersion of a conformally flat n-manifold. Then it satisfies equality (1·2) if and only if one of the following ten cases occurs.

Type
CORRIGENDUM
Copyright
2001 Cambridge Philosophical Society

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