Isometric immersions of space forms into     S  p   ×  R | Zendy

Canevari S. | Zendy; Tojeiro Ruy | Zendy

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Isometric immersions of space forms into S p × R

Author(s) -

Canevari S.,

Tojeiro Ruy

Publication year - 2020

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201800571

Subject(s) - mathematics , isometric exercise , sectional curvature , pure mathematics , dimension (graph theory) , product (mathematics) , mathematical analysis , space (punctuation) , constant curvature , constant (computer programming) , curvature , geometry , scalar curvature , linguistics , philosophy , computer science , programming language , physical therapy , medicine

In this article we classify isometric immersions f : M n ( c ) → S n + p × R of Riemannian manifolds of dimension n and constant sectional curvature c ≤ 1 into the product spaceS n + p × R , p ≤ n − 3 , where S m denotes the m ‐dimensional unit sphere.

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