Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



The Morse index theorem in the degenerate endmanifold case

Authors: Nancy Hingston and Diane Kalish
Journal: Proc. Amer. Math. Soc. 118 (1993), 663-668
MSC: Primary 58E10
MathSciNet review: 1143018
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We present a simple formulation and proof of the Morse index theorem for two endmanifolds in the degenerate case, that is, when each submanifold lies at a focal point of the other.

References [Enhancements On Off] (What's this?)

  • [1] W. Ambrose, The index theorem in Riemannian geometry, Ann. of Math. (2) 73 (1961), 49-86. MR 0133783 (24:A3608)
  • [2] R. L. Bishop and R. L. Crittenden, Geometry of manifolds, Academic Press, New York, 1964. MR 0169148 (29:6401)
  • [3] J. Bolton, The Morse Index Theorem in the case of two variable end-points, J. Differential Geom. 12 (1977), 567-581. MR 512926 (80b:58025)
  • [4] D. Kalish, The Morse index theorem where the ends are submanifolds, Trans. Amer. Math. Soc. 308 (1988), 341-348. MR 946447 (89i:58024)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58E10

Retrieve articles in all journals with MSC: 58E10

Additional Information

Article copyright: © Copyright 1993 American Mathematical Society

American Mathematical Society