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On 2-Stein Submanifolds in Space Forms

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journal contribution
posted on 2025-01-16, 02:30 authored by Y Euh, Jihun KimJihun Kim, Yuri NikolayevskyYuri Nikolayevsky, JH Park
We prove that a 2-stein submanifold in a space form whose normal connection is flat or whose codimension is at most 2, has constant curvature.

Funding

The first and the fourth author were supported by Samsung Science and Technology Foundation under Project No. SSTF-BA2001-03. The third author was partially supported by the ARC (Australian Research Council) Discovery Grant DP210100951.

History

Publication Date

2022-04-01

Journal

Results in Mathematics

Volume

77

Issue

2

Article Number

84

Pagination

7p.

Publisher

Springer

ISSN

1422-6383

Rights Statement

© 2022 The Author(s), under exclusive licence to Springer Nature Switzerland AG. Articles published within the Springer Nature group of companies which are made available through academic repositories remain subject to copyright. The restrictions on use of such articles can be found at: https://www.nature.com/nature-portfolio/editorial-policies/self-archiving-and-license-to-publish#terms-for-use

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    Keywords

    2-stein spacesubmanifold in a space form

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