This paper aims to introduce the notion of hyper generalized weakly symmetric manifolds with a non-trivial example. MSC : 53C15, 53C25

On Hyper Generalized Weakly Symmetric Manifolds

The present paper focuses on the study of o-pseudo symmetric, o-pseudo concircularly symmetric and o-pseudo Ricci symmetric on e-Para Sasakian Manifolds. Also interesting results are obtained.

ø-Pseudo Symmetric ε-Para Sasakian Manifolds

Critical metric equation on 
 
 
 
 $$\alpha$$
 
 α
 
 -cosymplectic manifold

The paper attempts to introduce and study (cid:1) -general critical equation in the frame of a -cosymplectic manifold. It is proved that if an a -cosymplectic manifold admits the (cid:1) -general critical equation with a non trivial solution ( k ; g ), then either M 2 n þ 1 is Einstein

Critical metric equation on a -cosymplectic manifold

. In this work, we have introduced and studied some basic geometric properties of extended weakly symmetric spaces. After classiﬁcation of this structure we have also established the existence of such a space by presenting a non-trivial example.

Extended weakly symmetric manifolds

The object of the present paper is to study the properties of a hyper generalized pseudo $Q$-symmetric semi-Riemannian manifold, proving that under certain assumptions, it is a perfect fluid spacetime.

/pdf/hyper-generalized-pseudo-q-symmetric-semi-riemannian-4bpfc8yuqb.pdf

Hyper generalized pseudo $Q$-symmetric semi-Riemannian manifolds

The paper attempts to study Deszcz pseudosymmetric conditions on $$\alpha $$
 -cosymplectic manifold based on the study of equivalence of geometric structures (initiated by Shaikh and Kundu in 2013) by considering different conditions into various groups or classes. We prove that an $$\alpha $$
 -cosymplectic manifold belonging to the class $$G_{1}$$
 and $$G_{2}$$
 is Einstein, whereas such a manifold belonging to the class $$G_{3}$$
 and $$G_{4}$$
 is an $$\eta $$
 -Einstein manifold. Moreover, we determine the Riemann solitons.

Four classes of Riemann solitons on $$\alpha $$ α -cosymplectic manifolds

The present paper attempt to introduce the notion of generalized weakly φ-symmetric and generalized weakly Ricci φ-symmetric Lorentzian Para Sasakian manifold. Furthermore, we have studied generalized weakly φ-symmetric Lorentzian Para-Sasakian spacetimes. In addition, the existence of generalized weakly φ-symmetric Lorentzian Para Sasakian manifold is ensured by a suitable example. AMS Mathematics Subject Classification (2010): 53C15; 53C25

On generalized weakly (Ricci) $\phi $-symmetric Lorentzian ParaSasakian manifold

The object of the present paper is to study $\eta $-Ricci soliton on Kenmotsu manifold with respect to general connection.

/pdf/eta-ricci-solitons-on-kenmotsu-manifolds-admitting-general-kkx892pxur.pdf

$\eta $-Ricci solitons on Kenmotsu manifolds admitting general connection

The object of the present paper is to investigate the nature of Riemannsolitons on generelized $D$-conformally deformed Kenmotsu manifold with hyper generalized pseudo symmetric curvature conditions.

/pdf/riemann-solitons-on-certain-type-of-kenmotsu-manifold-344dzgfvq8.pdf

Kanak Kanti Baishya

Papers

Hyper generalized pseudo \(Q\)-symmetric semi-Riemannian manifolds

Four classes of Riemann solitons on $$\alpha $$ α -cosymplectic manifolds

On generalized weakly (Ricci) $\phi $-symmetric Lorentzian ParaSasakian manifold

$\eta $-Ricci solitons on Kenmotsu manifolds admitting general connection

Riemann solitons on certain type of Kenmotsu manifold