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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.