Biconservative Submanifolds in S n × R and H n × R

In this paper we study biconservative submanifolds in Sn×R and Hn×R with parallel mean curvature vector field and codimesion 2. We obtain some sufficient and necessary conditions for such submanifolds to be conservative. In particular, we obtain a complete classification of 3-dimensional biconservat...

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Bibliographic Details
Published inThe Journal of geometric analysis Vol. 29; no. 1; p. 283
Main Authors Manfio, F, Turgay, N C, Upadhyay, A
Format Journal Article
LanguageEnglish
Published New York Springer Nature B.V 01.01.2019
Subjects
Curvature
Fields (mathematics)
Geometry
Manifolds (mathematics)
Production planning
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Summary:In this paper we study biconservative submanifolds in Sn×R and Hn×R with parallel mean curvature vector field and codimesion 2. We obtain some sufficient and necessary conditions for such submanifolds to be conservative. In particular, we obtain a complete classification of 3-dimensional biconservative submanifolds in S4×R and H4×R with nonzero parallel mean curvature vector field. We also get some results for biharmonic submanifolds in Sn×R and Hn×R.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-018-9990-9