A new class of almost complex structures on tangent bundle of a Riemannian manifold
Communications in Mathematics (2018)
- Volume: 26, Issue: 2, page 137-145
- ISSN: 1804-1388
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topBaghban, Amir, and Abedi, Esmaeil. "A new class of almost complex structures on tangent bundle of a Riemannian manifold." Communications in Mathematics 26.2 (2018): 137-145. <http://eudml.org/doc/294697>.
@article{Baghban2018,
abstract = {In this paper, the standard almost complex structure on the tangent bunle of a Riemannian manifold will be generalized. We will generalize the standard one to the new ones such that the induced $(0,2)$-tensor on the tangent bundle using these structures and Liouville $1$-form will be a Riemannian metric. Moreover, under the integrability condition, the curvature operator of the base manifold will be classified.},
author = {Baghban, Amir, Abedi, Esmaeil},
journal = {Communications in Mathematics},
keywords = {Almost complex structure; curvature operator; integrability; tangent bundle},
language = {eng},
number = {2},
pages = {137-145},
publisher = {University of Ostrava},
title = {A new class of almost complex structures on tangent bundle of a Riemannian manifold},
url = {http://eudml.org/doc/294697},
volume = {26},
year = {2018},
}
TY - JOUR
AU - Baghban, Amir
AU - Abedi, Esmaeil
TI - A new class of almost complex structures on tangent bundle of a Riemannian manifold
JO - Communications in Mathematics
PY - 2018
PB - University of Ostrava
VL - 26
IS - 2
SP - 137
EP - 145
AB - In this paper, the standard almost complex structure on the tangent bunle of a Riemannian manifold will be generalized. We will generalize the standard one to the new ones such that the induced $(0,2)$-tensor on the tangent bundle using these structures and Liouville $1$-form will be a Riemannian metric. Moreover, under the integrability condition, the curvature operator of the base manifold will be classified.
LA - eng
KW - Almost complex structure; curvature operator; integrability; tangent bundle
UR - http://eudml.org/doc/294697
ER -
References
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