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arXiv · 1811.10841

Classification theorems for biharmonic real hypersurfaces in a complex projective space

Toru Sasahara
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Abstract

First, we classify proper biharmonic Hopf real hypersurfaces in $\mathbb{C}P^2$. Next, we classify proper biharmonic real hypersurfaces with two distinct principal curvatures in $\mathbb{C}P^n$, where $n\geq 2$. Finally, we prove that biharmonic ruled real hypersurfaces in $\mathbb{C}P^n$ are minimal, where $n\geq 2$.

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Toru Sasahara. 2018-11-27. Classification theorems for biharmonic real hypersurfaces in a complex projective space. https://arxiv.org/abs/1811.10841

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