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ON GENERALIZED QUASI-CONFORMAL N(k, μ)-MANIFOLDS
Baishya, Kanak Kanti,Chowdhury, Partha Roy Korean Mathematical Society 2016 대한수학회논문집 Vol.31 No.1
The object of the present paper is to introduce a new curvature tensor, named generalized quasi-conformal curvature tensor which bridges conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. Flatness and symmetric properties of generalized quasi-conformal curvature tensor are studied in the frame of (k, ${\mu}$)-contact metric manifolds.
Note on Almost Generalized Pseudo-Ricci Symmetric Manifolds
Baishya, Kanak Kanti Department of Mathematics 2017 Kyungpook mathematical journal Vol.57 No.3
The purpose of the present paper is to study an almost generalized pseudo-Ricci symmetric manifold. The existence of such manifold is ensured by an example. Furthermore, having found, faulty example in [13], the present paper also attempts to construct a non-trivial example of an almost pseudo Ricci symmetric manifold.
INVARIANT SUBMANIFOLDS OF (LCS)<sub>n</sub>-MANIFOLDS ADMITTING CERTAIN CONDITIONS
( Sabina Eyasmin ),( Kanak Kanti Baishya ) 호남수학회 2020 호남수학학술지 Vol.42 No.4
The object of the present paper is to study the invariant submanifolds of (LCS)n-manifolds. We study generalized quasiconformally semi-parallel and 2-semiparallel invariant submanifolds of (LCS)n-manifolds and showed their existence by a non-trivial example. Among other it is shown that an invariant submanifold of a (LCS)n-manifold is totally geodesic if the second fundamental form is any one of (i) symmetric, (ii) recurrent, (iii) pseudo symmetric, (iv) almost pseudo symmetric and (v) weakly pseudo symmetric.
Riemann solitons on certain type of Kenmotsu manifold
Manoj Ray Bakshi,Kanak Kanti Baishya,Ashoke Das 강원경기수학회 2021 한국수학논문집 Vol.29 No.2
The object of the present paper is to investigate the nature of Riemann solitons on generelized $D$-conformally deformed Kenmotsu manifold with hyper generalized pseudo symmetric curvature conditions.
η-RICCI SOLITONS ON KENMOTSU MANIFOLDS ADMITTING GENERAL CONNECTION
Ashis Biswas,Ashoke Das,Kanak Kanti Baishya,Manoj Ray Bakshi 강원경기수학회 2020 한국수학논문집 Vol.28 No.4
The object of the present paper is to study η-Ricci soliton on Kenmotsu manifold with respect to general connection.
□-RICCI SOLITONS ON KENMOTSU MANIFOLDS
( Sabina Eyasmin ),( Partha Roy Chowdhury ),( Kanak Kanti Baishya ) 호남수학회 2018 호남수학학술지 Vol.40 No.2
The object of the present paper is to study the Ken- motsu manifolds which metric tensor is □-Ricci soliton. We bring out curvature conditions for which Ricci solitons in Kenmotsu man- ifolds are sometimes shrinking or expanding and some other times steady.
𝜂-RICCI SOLITONS ON KENMOTSU MANIFOLDS
Eyasmin, Sabina,Chowdhury, Partha Roy,Baishya, Kanak Kanti The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.2
The object of the present paper is to study the Kenmotsu manifolds which metric tensor is ${\eta}$-Ricci soliton. We bring out curvature conditions for which Ricci solitons in Kenmotsu manifolds are sometimes shrinking or expanding and some other times steady.