Biconservative Submanifolds in Sn× R and Hn× R

F. Manfio; N. C. Turgay; A. Upadhyay

doi:10.1007/s12220-018-9990-9

Biconservative Submanifolds in Sⁿ× R and Hⁿ× R

F. Manfio
, N. C. Turgay
, A. Upadhyay^*

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	283-298
Number of pages	16
Journal	Journal of Geometric Analysis
Volume	29
Issue number	1
DOIs	https://doi.org/10.1007/s12220-018-9990-9
Publication status	Published - 15 Jan 2019

Bibliographical note

Publisher Copyright:
© 2018, Mathematica Josephina, Inc.

Funding

Acknowledgements The third author gratefully thanks for the support from the National Post-doctoral Fellowship of Science and Engineering Research Board (SERB), Government of India.

Funders
National Post-doctoral Fellowship of Science and Engineering Research Board
Science and Engineering Research Board

Keywords

Biconservative submanifolds
Biharmonic submanifolds
Product spaces S× R and H× R

Access to Document

10.1007/s12220-018-9990-9

Cite this

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AU - Upadhyay, A.

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KW - Biharmonic submanifolds

KW - Product spaces S× R and H× R

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