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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
DOI: https://doi.org/10.1090/S0002-9939-1993-1143018-2
MathSciNet review: 1143018
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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)

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DOI: https://doi.org/10.1090/S0002-9939-1993-1143018-2
Article copyright: © Copyright 1993 American Mathematical Society

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