Geometry of Mus-Sasaki metric

Abderrahim Zagane; Mustapha Djaa

Communications in Mathematics (2018)

  • Volume: 26, Issue: 2, page 113-126
  • ISSN: 1804-1388

Abstract

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In this paper, we introduce the Mus-Sasaki metric on the tangent bundle T M as a new natural metric non-rigid on T M . First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.

How to cite

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Zagane, Abderrahim, and Djaa, Mustapha. "Geometry of Mus-Sasaki metric." Communications in Mathematics 26.2 (2018): 113-126. <http://eudml.org/doc/294590>.

@article{Zagane2018,
abstract = {In this paper, we introduce the Mus-Sasaki metric on the tangent bundle $TM$ as a new natural metric non-rigid on $TM$. First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.},
author = {Zagane, Abderrahim, Djaa, Mustapha},
journal = {Communications in Mathematics},
keywords = {Horizontal lift; vertical lift; Mus-Sasaki metric; scalar curvature},
language = {eng},
number = {2},
pages = {113-126},
publisher = {University of Ostrava},
title = {Geometry of Mus-Sasaki metric},
url = {http://eudml.org/doc/294590},
volume = {26},
year = {2018},
}

TY - JOUR
AU - Zagane, Abderrahim
AU - Djaa, Mustapha
TI - Geometry of Mus-Sasaki metric
JO - Communications in Mathematics
PY - 2018
PB - University of Ostrava
VL - 26
IS - 2
SP - 113
EP - 126
AB - In this paper, we introduce the Mus-Sasaki metric on the tangent bundle $TM$ as a new natural metric non-rigid on $TM$. First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.
LA - eng
KW - Horizontal lift; vertical lift; Mus-Sasaki metric; scalar curvature
UR - http://eudml.org/doc/294590
ER -

References

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