Minimal immersions of Riemannian manifolds in products of space forms

Manfio, Fernando; Vitório, Feliciano

Artículos de revistas

Fecha

2015-04

Registro en:

Journal of Mathematical Analysis and Applications, San Diego, v. 424, n. 1, p. 260-268, Apr. 2015

0022-247X

http://www.producao.usp.br/handle/BDPI/50303

10.1016/j.jmaa.2014.11.013

http://dx.doi.org/10.1016/j.jmaa.2014.11.013

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1645518

Autor

Manfio, Fernando

Vitório, Feliciano

Institución

Universidade de São Paulo (Brasil)

Resumen

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 POT.N' satisfy a spectral condition of their Laplacian.

Materias

Minimal immersions

Isometric immersions

Riemannian product of space forms

Mostrar el registro completo del ítem