Einstein submanifolds with parallel mean curvature
Christos-Raent Onti
TL;DR
This paper classifies Einstein submanifolds in space forms that have flat normal bundles and parallel mean curvature, extending previous classifications to a broader setting.
Contribution
It generalizes earlier results by providing a comprehensive classification of Einstein submanifolds with specific geometric properties.
Findings
Classification of Einstein submanifolds with flat normal bundle and parallel mean curvature
Extension of previous results to more general space forms
New insights into the geometry of isometric immersions
Abstract
We provide a classification of Einstein submanifolds in space forms with flat normal bundle and parallel mean curvature. This extends a previous result due to Dajczer and Tojeiro for isometric immersions of Riemannian manifolds with constant sectional curvature.
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