Minimal immersions of Riemannian manifolds in products of space forms

2013/02/12 by Manfio, Fernando, Vitório, Feliciano
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1302.2880

Abstract

In this note, we give natural extensions to cylinders and tori of a classical result due to T. Takahashi 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.

Related

• A new obstruction to minimal isometric immersions into a real space form
• Minimal Kähler submanifolds in product of space forms
• Isometric immersions into products of many space forms: an introductory study
• Isometric immersions of warped products
• Complete real Kahler submanifolds in codimension two