Local Wintgen ideal submanifolds

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.

Publication Details

Journal
ArXiv.org
Published
2025-05-01
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Local Wintgen ideal submanifolds

ArXiv.org
Geometric Analysis and Curvature Flows
article

Local Wintgen ideal submanifolds

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Abstract

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.

ArXiv.org
Universidad de Murcia, Comunidad Autónoma de la Región de Murcia, European Regional Development Fund, Agencia Estatal de Investigación
Reduced inequalities
Openalex Percentile: Top 38%
Geometric Analysis and Curvature Flows
Open Access PDFOpenAlex
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Local Wintgen ideal submanifolds · ArXiv.org (2025) | TGRS Research Map | TGRS