Warped product structure of submanifolds with nonpositive extrinsic curvature in space forms

DOI10.1016/J.DIFGEO.2006.04.002zbMath1121.53014OpenAlexW2002668491WikidataQ115357845 ScholiaQ115357845MaRDI QIDQ884009

Luis A. Florit

Publication date: 13 June 2007

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2006.04.002

zbMATH Keywords

warped productsnonpositive extrinsic curvaturesubmanifold splitting

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25) Local Riemannian geometry (53B20)

Cites Work

• Unnamed Item
• Gauss parametrizations and rigidity aspects of submanifolds
• Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung
• A splitting theorem for Euclidean submanifolds of nonpositive sectional curvature
• On nonpositively curved Euclidean submanifolds: splitting results
• On submanifolds with nonpositive extrinsic curvature
• A local and global splitting result for real Kähler Euclidean submanifolds
• On real Kähler Euclidean submanifolds with non-negative Ricci curvature
• Isometric embedding of Kähler manifolds with nonpositive sectional curvature
• Isometric immersions of warped products
• Compositions of isometric immersions in higher codimension

This page was built for publication: Warped product structure of submanifolds with nonpositive extrinsic curvature in space forms