Biharmonic surfaces with parallel mean curvature in complex space forms

Dorel Fetcu; Ana Lucia Pinheiro

doi:10.1215/21562261-3157766

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Home > Journals > Kyoto J. Math. > Volume 55 > Issue 4 > Article

December 2015 Biharmonic surfaces with parallel mean curvature in complex space forms

Dorel Fetcu, Ana Lucia Pinheiro

Kyoto J. Math. 55(4): 837-855 (December 2015). DOI: 10.1215/21562261-3157766

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Abstract

We classify complete biharmonic surfaces with parallel mean curvature vector field and nonnegative Gaussian curvature in complex space forms.

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Dorel Fetcu. Ana Lucia Pinheiro. "Biharmonic surfaces with parallel mean curvature in complex space forms." Kyoto J. Math. 55 (4) 837 - 855, December 2015. https://doi.org/10.1215/21562261-3157766

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Received: 2 July 2014; Revised: 2 October 2014; Accepted: 2 October 2014; Published: December 2015

First available in Project Euclid: 25 November 2015

zbMATH: 1336.53067

MathSciNet: MR3479312

Digital Object Identifier: 10.1215/21562261-3157766

Subjects:

Primary: 53C42 , 58E20

Keywords: Biharmonic surfaces , surfaces with parallel mean curvature vector

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Kyoto J. Math.

Vol.55 • No. 4 • December 2015

Duke University Press

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Dorel Fetcu, Ana Lucia Pinheiro "Biharmonic surfaces with parallel mean curvature in complex space forms," Kyoto Journal of Mathematics, Kyoto J. Math. 55(4), 837-855, (December 2015)

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