Local Wintgen ideal submanifolds

Fuente: arXiv
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Main Authors: Dajczer, Marcos, Vlachos, Theodoros
Format: Preprint
Published: 2025
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author Dajczer, Marcos
Vlachos, Theodoros
author_facet Dajczer, Marcos
Vlachos, Theodoros
contents This paper is dedicated to the local parametric classification of Wintgen ideal submanifolds in space forms. These submanifolds are characterized by the pointwise attainment of equality in the DDVV inequality, which relates the scalar curvature, the length of the mean curvature vector field and the normal curvature tensor.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00314
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Local Wintgen ideal submanifolds
Dajczer, Marcos
Vlachos, Theodoros
Differential Geometry
53B25, 53C24, 53C42
This paper is dedicated to the local parametric classification of Wintgen ideal submanifolds in space forms. These submanifolds are characterized by the pointwise attainment of equality in the DDVV inequality, which relates the scalar curvature, the length of the mean curvature vector field and the normal curvature tensor.
title Local Wintgen ideal submanifolds
topic Differential Geometry
53B25, 53C24, 53C42
url https://arxiv.org/abs/2505.00314