Immersions with Semi-Definite Second Fundamental Forms
1975 ◽
Vol 27
(3)
◽
pp. 610-617
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Keyword(s):
Let M be a. complete connected Riemannian manifold of dimension n and let £:M → Rn+k be an isometric immersion into the Euclidean space Rn+k. Let ∇ be the connection on Mn and let be the Euclidean connection on Rn+k. Also letdenote the second fundamental form B(X, Y) = (xY)→. Here TP(M) denotes the tangent space at p, NP(M) the normal space and (…)→ the normal component.
2000 ◽
Vol 24
(1)
◽
pp. 43-48
1993 ◽
Vol 131
◽
pp. 127-133
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2006 ◽
Vol 30
(4)
◽
pp. 383-396
◽
2002 ◽
Vol 132
(5)
◽
pp. 1163-1183
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1972 ◽
Vol 47
◽
pp. 161-167
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2002 ◽
Vol 132
(5)
◽
pp. 1163-1183
◽
2004 ◽
Vol 76
(1)
◽
pp. 1-7