Geometric applications of critical point theory to submanifolds of complex projective space
Keyword(s):
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.
1975 ◽
pp. 115-117
2001 ◽
Vol 77
(7)
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pp. 99-102
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2010 ◽
Vol 81
(3)
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pp. 488-492
2017 ◽
Vol 54
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pp. 2-10
Keyword(s):
1984 ◽
Vol 28
(1)
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pp. 103-119
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2015 ◽
Vol 92
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pp. 129-139
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