Minimal immersions of Riemannian manifolds in products of space forms

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:424

Article

Manfio, Fernando¹  Vitorio, Feliciano² 

[1] Univ Sao Paulo, ICMC, BR-18561060 Sao Carlos, SP, Brazil

[2] Univ Fed Alagoas, IM, BR-57072900 Maceio, AL, Brazil

关键词: Minimal immersions;    Isometric immersions;    Riemannian product of space forms;   

DOI  :  10.1016/j.jmaa.2014.11.013

来源: Elsevier

【 摘 要 】

In this paper, we give natural extensions to cylinders and tori of a classical result due to T. Takahashi [8] about minimal immersions into spheres. More precisely, we deal with Euclidean isometric immersions whose projections in R-N satisfy a spectral condition of their Laplacian. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free