A short note on f -biharmonic hypersurfaces

Selcen Y. Perktaş; Bilal E. Acet; Adara M. Blaga

Commentationes Mathematicae Universitatis Carolinae (2020)

  • Volume: 61, Issue: 1, page 119-126
  • ISSN: 0010-2628

Abstract

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In the present paper we give some properties of f -biharmonic hypersurfaces in real space forms. By using the f -biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the f -biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider f -biharmonic vertical cylinders in S 2 × ℝ .

How to cite

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Perktaş, Selcen Y., Acet, Bilal E., and Blaga, Adara M.. "A short note on $f$-biharmonic hypersurfaces." Commentationes Mathematicae Universitatis Carolinae 61.1 (2020): 119-126. <http://eudml.org/doc/297133>.

@article{Perktaş2020,
abstract = {In the present paper we give some properties of $f$-biharmonic hypersurfaces in real space forms. By using the $f$-biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the $f$-biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider $f$-biharmonic vertical cylinders in $S^\{2\}\times \mathbb \{R\}$.},
author = {Perktaş, Selcen Y., Acet, Bilal E., Blaga, Adara M.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$f$-biharmonic maps; $f$-biharmonic hypersurface},
language = {eng},
number = {1},
pages = {119-126},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A short note on $f$-biharmonic hypersurfaces},
url = {http://eudml.org/doc/297133},
volume = {61},
year = {2020},
}

TY - JOUR
AU - Perktaş, Selcen Y.
AU - Acet, Bilal E.
AU - Blaga, Adara M.
TI - A short note on $f$-biharmonic hypersurfaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2020
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 61
IS - 1
SP - 119
EP - 126
AB - In the present paper we give some properties of $f$-biharmonic hypersurfaces in real space forms. By using the $f$-biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the $f$-biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider $f$-biharmonic vertical cylinders in $S^{2}\times \mathbb {R}$.
LA - eng
KW - $f$-biharmonic maps; $f$-biharmonic hypersurface
UR - http://eudml.org/doc/297133
ER -

References

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