Biharmonic Immersion in Cartan Hadamard manifold

Saïd Asserda; M'Hamed Kassi

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arXiv · 1707.01925

Biharmonic Immersion in Cartan Hadamard manifold

Saïd Asserda·M'Hamed Kassi

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Abstract

If $(N^{m+p},h)$ is a Cartan-Hadamard manifold such that $Ric(h)\geq -G(r_{N}(x))$ where $G(0)\geq 1, G^{'}\geq 0$ and $G^{-1/2}\not\in L^{1}(+\infty)$ then every proper biharmonic isometric immersion $\phi : M^{m}\rightarrow(N^{m+p},h)$ is a harmonic map.

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BibTeX RIS

Saïd Asserda, M'Hamed Kassi. 2017-07-06. Biharmonic Immersion in Cartan Hadamard manifold. https://arxiv.org/abs/1707.01925

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