Isometric immersions into manifolds without conjugate points
1982 ◽
Vol 92
(2)
◽
pp. 243-250
Keyword(s):
1. Introduction and statement of results. Let f: Mn-1 → ℝn be an immersion into Euclidean space ℝn. Each unit vector v to ℝn determines a height function bv: ℝn → ℝ. The corresponding half-space Lv = b-1([0, ∞) has boundary Hv = (b−1). and L is a (globally) supporting half-space for M at m є M if (m) є H and f(M) ∩ Lv = f(M) ∩ Hv.
1972 ◽
Vol 45
◽
pp. 139-165
◽
2004 ◽
Vol 06
(06)
◽
pp. 867-879
◽
Keyword(s):
Keyword(s):
1976 ◽
Vol 11
(1)
◽
pp. 47-57
◽
1973 ◽
Vol 28
(4)
◽
pp. 47-77
◽
1981 ◽
Vol 39
(3)
◽
pp. 359-386
◽
Keyword(s):
1967 ◽
Vol 15
(4)
◽
pp. 285-289
◽
Keyword(s):
1970 ◽
Vol 1
(2)
◽
pp. 31-45
◽