-biminimal maps between Riemannian manifolds

Yan Zhao; Ximin Liu

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 4, page 893-905
  • ISSN: 0011-4642

Abstract

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We give the definition of -biminimal submanifolds and derive the equation for -biminimal submanifolds. As an application, we give some examples of -biminimal manifolds. Finally, we consider -minimal hypersurfaces in the product space and derive two rigidity theorems.

How to cite

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Zhao, Yan, and Liu, Ximin. "$f$-biminimal maps between Riemannian manifolds." Czechoslovak Mathematical Journal 69.4 (2019): 893-905. <http://eudml.org/doc/294795>.

@article{Zhao2019,
abstract = {We give the definition of $f$-biminimal submanifolds and derive the equation for $f$-biminimal submanifolds. As an application, we give some examples of $f$-biminimal manifolds. Finally, we consider $f$-minimal hypersurfaces in the product space $\mathbb \{R\}^\{n\}\times \mathbb \{S\}^\{1\}(a)$ and derive two rigidity theorems.},
author = {Zhao, Yan, Liu, Ximin},
journal = {Czechoslovak Mathematical Journal},
keywords = {variational vector field; hypersurface; $f$-biminimal submanifold; mean curvature vector},
language = {eng},
number = {4},
pages = {893-905},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$f$-biminimal maps between Riemannian manifolds},
url = {http://eudml.org/doc/294795},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Zhao, Yan
AU - Liu, Ximin
TI - $f$-biminimal maps between Riemannian manifolds
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 4
SP - 893
EP - 905
AB - We give the definition of $f$-biminimal submanifolds and derive the equation for $f$-biminimal submanifolds. As an application, we give some examples of $f$-biminimal manifolds. Finally, we consider $f$-minimal hypersurfaces in the product space $\mathbb {R}^{n}\times \mathbb {S}^{1}(a)$ and derive two rigidity theorems.
LA - eng
KW - variational vector field; hypersurface; $f$-biminimal submanifold; mean curvature vector
UR - http://eudml.org/doc/294795
ER -

References

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