Vanishing conharmonic tensor of normal locally conformal almost cosymplectic manifold
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 1, pp. 93-104.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The main purpose of the present paper is to study the geometric properties of the conharmonic curvature tensor of normal locally conformal almost cosymplectic manifolds (normal LCAC-manifold). In particular, three conhoronic invariants are distinguished with regard to the vanishing conharmonic tensor. Subsequentaly, three classes of normal LCAC-manifolds are established. Moreover, it is proved that the manifolds of these classes are $ \eta $-Einstein manifolds of type $ (\alpha,\beta) $. Furthermore, we have determined $ \alpha $ and $ \beta $ for each class.
DOI : 10.14712/1213-7243.2020.008
Classification : 53B35, 53C55
Keywords: normal locally conformal almost cosymplectic manifold; conharmonic curvature tensor; constant curvature; $ \eta $-Einstein manifold
@article{10_14712_1213_7243_2020_008,
     author = {Al-Hussaini, Farah H. and Rustanov, Aligadzhi R. and Abood, Habeeb M.},
     title = {Vanishing conharmonic tensor of normal locally conformal almost 	cosymplectic manifold},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {93--104},
     publisher = {mathdoc},
     volume = {61},
     number = {1},
     year = {2020},
     doi = {10.14712/1213-7243.2020.008},
     mrnumber = {4093432},
     zbl = {07217161},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.008/}
}
TY  - JOUR
AU  - Al-Hussaini, Farah H.
AU  - Rustanov, Aligadzhi R.
AU  - Abood, Habeeb M.
TI  - Vanishing conharmonic tensor of normal locally conformal almost 	cosymplectic manifold
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2020
SP  - 93
EP  - 104
VL  - 61
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.008/
DO  - 10.14712/1213-7243.2020.008
LA  - en
ID  - 10_14712_1213_7243_2020_008
ER  - 
%0 Journal Article
%A Al-Hussaini, Farah H.
%A Rustanov, Aligadzhi R.
%A Abood, Habeeb M.
%T Vanishing conharmonic tensor of normal locally conformal almost 	cosymplectic manifold
%J Commentationes Mathematicae Universitatis Carolinae
%D 2020
%P 93-104
%V 61
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.008/
%R 10.14712/1213-7243.2020.008
%G en
%F 10_14712_1213_7243_2020_008
Al-Hussaini, Farah H.; Rustanov, Aligadzhi R.; Abood, Habeeb M. Vanishing conharmonic tensor of normal locally conformal almost 	cosymplectic manifold. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 1, pp. 93-104. doi : 10.14712/1213-7243.2020.008. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.008/

Cité par Sources :