A classification of totally geodesic and totally umbilical Legendrian submanifolds of \((\kappa,\mu)\)-spaces (Q1994065)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A classification of totally geodesic and totally umbilical Legendrian submanifolds of \((\kappa,\mu)\)-spaces |
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A classification of totally geodesic and totally umbilical Legendrian submanifolds of \((\kappa,\mu)\)-spaces (English)
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1 November 2018
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In this interesting paper, the authors aim to obtain the classifications of totally geodesic and totally umbilical Legendrian submanifolds of non-Sasakian \((\kappa ,\mu)\)-spaces with Boeckx invariant \(I\leq -1\). They present several examples of these kinds of submanifolds. In the last section, they prove that these examples constitute the complete local classification of such submanifolds.
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\((\kappa,\mu)\)-space
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Legendrian submanifold
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totally geodesic submanifold
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totally umbilical submanifold
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