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The index of a holomorphic mapping and the index theorem


Author: Tôru Ishihara
Journal: Proc. Amer. Math. Soc. 66 (1977), 169-174
MSC: Primary 58E15; Secondary 53C20
DOI: https://doi.org/10.1090/S0002-9939-1977-0494249-7
MathSciNet review: 0494249
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Abstract: The index theorem for a harmonic mapping of riemannian manifolds is given. Let $ f:M \to N$ be a holomorphic mapping of Kaehler manifolds. Then it is shown that the index of f is zero and that a Jacobi field along f is a holomorphic section of the bundle $ {f^ \ast }T(N)$ induced by f.


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

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0494249-7
Keywords: Harmonic mapping, index, holomorphic mapping
Article copyright: © Copyright 1977 American Mathematical Society

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