Proceedings of the International Conference on Geometry, Integrability and Quantization

Properties of Biharmonic Submanifolds in Spheres

Adina Balmuş, Stefano Montaldo, and Cezar Oniciuc

Abstract

In the present paper we survey the most recent classification results for proper biharmonic submanifolds in unit Euclidean spheres. We alsoobtain some new results concerning geometric properties of proper biharmonic constant mean curvature submanifolds in spheres.

Article information

Source
Proceedings of the Eleventh International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2010), 71-84

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436794521

Digital Object Identifier
doi:10.7546/giq-11-2010-71-84

Mathematical Reviews number (MathSciNet)
MR2757843

Zentralblatt MATH identifier
1195.53080

Citation

Balmuş, Adina; Montaldo, Stefano; Oniciuc, Cezar. Properties of Biharmonic Submanifolds in Spheres. Proceedings of the Eleventh International Conference on Geometry, Integrability and Quantization, 71--84, Avangard Prima, Sofia, Bulgaria, 2010. doi:10.7546/giq-11-2010-71-84. https://projecteuclid.org/euclid.pgiq/1436794521


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