Manfio, F and Turgay, NC and Upadhyay, A (2019) Biconservative Submanifolds in S-n x R and H-n x R. In: JOURNAL OF GEOMETRIC ANALYSIS, 29 (1). pp. 283-298.
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Official URL: https://doi.org/10.1007/s12220-018-9990-9
Abstract
In this paper we study biconservative submanifolds in S-n x R and H-n x 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 S-4 x R and H-4 x R with nonzero parallel mean curvature vector field. We also get some results for biharmonic submanifolds in S-n x R and H-n x R.
| Item Type: | Journal Article |
|---|---|
| Publication: | JOURNAL OF GEOMETRIC ANALYSIS |
| Publisher: | SPRINGER |
| Additional Information: | Copyright of this article belongs to SPRINGER |
| Keywords: | Biconservative submanifolds; Biharmonic submanifolds; Product spaces S-n x R and H-n x R |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 06 Feb 2019 05:55 |
| Last Modified: | 06 Feb 2019 05:55 |
| URI: | http://eprints.iisc.ac.in/id/eprint/61595 |
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