The codimension of submanifolds with negative extrinsic curvature

DOI10.1007/s00025-022-01818-xOpenAlexW4313422368MaRDI QIDQ2110273

Theodoros Vlachos, Marcos Dajczer, Christos-Raent Onti

Publication date: 21 December 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01818-x

zbMATH Keywords

extrinsic curvaturesubstantial codimension

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Cites Work

• Commuting Codazzi tensors and the Ribaucour transformation for submanifolds
• On constant curvature submanifolds of space forms
• Submanifold theory. Beyond an introduction
• AN EXTENSION OF THE CLASSICAL RIBAUCOUR TRANSFORMATION
• ISOMETRIC IMMERSIONS OF DOMAINS OF $n$-DIMENSIONAL LOBACHEVSKY SPACE IN $(2n - 1)$-DIMENSIONAL EUCLIDEAN SPACE