Biharmonic Riemannian maps

Bayram Ṣahin

Annales Polonici Mathematici (2011)

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

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.