TY  - JOUR
TT  - Some Symmetry Properties of Almost S-Manifolds
AU  - Balkan, Yavuz Selim
AU  - Sarikaya, Mehmet Zeki
PY  - 2017
DA  - September
DO  - 10.18466/cbayarfbe.339323
JF  - Celal Bayar University Journal of Science
JO  - CBUJOS
PB  - Manisa Celal Bayar Üniversitesi
WT  - DergiPark
SN  - 1305-130X
SP  - 657
EP  - 664
VL  - 13
IS  - 3
KW  - -Einstein Manifold
KW  - -Ricci Symmetric Manifolds
KW  - Almost  -Manifold
KW  - Globally Framed Metric  -Manifold
KW  - -Structure
KW  - Weakly Symmetric Manifold
N2  - Manifoldtheory is an important topic in differential geometry. Riemannian manifolds area wide class of differentiable manifolds. Riemannian manifolds consist of two fundamental class, as contactmanifolds and complex manifolds. The notion of globally framed metric                               -manifold is a generalization of these fundamental classes.Almost  -manifolds which are globally framed metric  -manifold generalize some contact manifolds carrying theirdimension to  . On the other hand, classification is important forRiemannian manifolds with respect to some intrinsic and extrinsic tools as wellas all sciences. Moreover, symmetric manifolds play an important role indifferential geometry. There are a lot of symmetry type for Riemannianmanifolds with respect to different arguments. Under these considerations,in the present paper  we study somesymmetry conditions on almost  -manifolds. We investigate weak symmetries and  -symmetries of these type manifolds. We obtain some necessaryand sufficient conditions to characterize of their structures. Firstly, we prove thatthe existence of weakly symmetric and weakly Ricci symmetric almost  -manifolds under some special conditions. Then, we show thatevery  -symmetric almost  -manifold verifying the  -nullity distribution is an  -Einstein manifold of globally framed type. Finally, we getsome necessary and sufficient condition for a  -Ricci symmetric almost  -manifold verifying the  -nullity distribution to be an  -Einstein manifold of globally framed type.
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UR  - https://doi.org/10.18466/cbayarfbe.339323
L1  - https://dergipark.org.tr/tr/download/article-file/345776
ER  -