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^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Universidade de São Paulo
Indian Institute of Science Bangalore

Araştırma çıktısı: Dergi yayını › Makale › Hakem

11 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	283-298
Sayfa sayısı	16
Dergi	Journal of Geometric Analysis
Hacim	29
Basın numarası	1
DOI'lar	https://doi.org/10.1007/s12220-018-9990-9
Yayın durumu	Yayınlandı - 15 Oca 2019

Bibliyografik not

Publisher Copyright:
© 2018, Mathematica Josephina, Inc.

Finansman

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.

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

Belgeye Erişim

10.1007/s12220-018-9990-9

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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AU - Upadhyay, A.

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KW - Biconservative submanifolds

KW - Biharmonic submanifolds

KW - Product spaces S× R and H× R

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