Biharmonic Riemannian maps

Bayram Ṣahin

Biharmonic Riemannian maps

Bayram Ṣahin

Annales Polonici Mathematici (2011)

Volume: 102, Issue: 1, page 39-49
ISSN: 0066-2216

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Abstract

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We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo-umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that such Riemannian maps put some restrictions on the target manifolds.

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Bayram Ṣahin. "Biharmonic Riemannian maps." Annales Polonici Mathematici 102.1 (2011): 39-49. <http://eudml.org/doc/280167>.

@article{BayramṢahin2011,
abstract = {We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo-umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that such Riemannian maps put some restrictions on the target manifolds.},
author = {Bayram Ṣahin},
journal = {Annales Polonici Mathematici},
keywords = {Riemannian map; pseudo-umbilical Riemannian map; harmonic map; biharmonic map; Riemannian submersion},
language = {eng},
number = {1},
pages = {39-49},
title = {Biharmonic Riemannian maps},
url = {http://eudml.org/doc/280167},
volume = {102},
year = {2011},
}

TY - JOUR
AU - Bayram Ṣahin
TI - Biharmonic Riemannian maps
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 1
SP - 39
EP - 49
AB - We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo-umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that such Riemannian maps put some restrictions on the target manifolds.
LA - eng
KW - Riemannian map; pseudo-umbilical Riemannian map; harmonic map; biharmonic map; Riemannian submersion
UR - http://eudml.org/doc/280167
ER -

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