The Morse Index of Sacks–Uhlenbeck α-Harmonic Maps for Riemannian Manifolds

In this paper, first we prove a nonexistence theorem for α-harmonic mappings between Riemannian manifolds. Second, the instability of nonconstant α-harmonic maps is studied with regard to the Ricci curvature criterion of their codomain. Then, we estimate the Morse index for measuring the degree of i...

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Bibliographic Details
Main Authors: Amir Shahnavaz, Nader Kouhestani, Seyed Mehdi Kazemi Torbaghan
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/2692876
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