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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



The Morse index theorem where the ends are submanifolds

Author: Diane Kalish
Journal: Trans. Amer. Math. Soc. 308 (1988), 341-348
MSC: Primary 58E10
MathSciNet review: 946447
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Abstract: In this paper the Morse Index Theorem is proven in the case where submanifolds $ P$ and $ Q$ are at the endpoints of a geodesic, $ \gamma $. At $ \gamma $, the index of the Hessian of the energy function defined on paths joining $ P$ and $ Q$ is computed using $ P$-focal points, and a calculation at the endpoint of $ \gamma $, involving the second fundamental form of $ Q$.

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

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Article copyright: © Copyright 1988 American Mathematical Society

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