Normal Split Submanifolds of Rational Homogeneous Spaces-Reference-Cited by-同舟云学术

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Normal Split Submanifolds of Rational Homogeneous Spaces

Published:2023-03-08 Issue:2 Volume:2024 Page:1329-1339
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Floris Enrica¹,Höring Andreas²

Affiliation:

1. Laboratoire de Mathématiques et Applications, Université de Poitiers , UMR CNRS 7348, Téléport 2, Boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope Chasseneuil Cedex, France

2. Institut Universitaire de France, Université Côte d’Azur , CNRS, LJAD, France

Abstract

Abstract Let $M \subset X$ be a submanifold of a rational homogeneous space $X$ such that the normal sequence splits. We prove that $M$ is also rational homogeneous.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2024/2/1329/56326426/rnad022.pdf

Reference25 articles.

1. Symplectic singularities;Beauville;Invent. Math.,2000

2. Prog. Math.;Blair,2010

3. Über kompakte homogene Kählersche Mannigfaltigkeiten;Borel;Math. Ann.,1961/62

4. Contact singularities;Campana;Manuscr. Math.,2002

5. Projective manifolds whose tangent bundles are numerically effective;Campana;Math. Ann.,1991

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