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Geometric applications of critical point theory to submanifolds of complex projective space

Published online by Cambridge University Press:  22 January 2016

Thomas E. Cecil
Thomas E. Cecil*
Affiliation:
Vassar College
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In a recent paper, [6], Nomizu and Rodriguez found a geometric characterization of umbilical submanifolds Mn ⊂ Rn+p in terms of the critical point behavior of a certain class of functions Lp, p ⊂ Rn+p, on Mn. In that case, if p ⊂ Rn+p, x ⊂ Mn, then Lp(x) = (d(x,p))2, where d is the Euclidean distance function.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 55 , November 1974 , pp. 5 - 31
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

References

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