In this paper we study a Riemanian metric on the tangent bundle T (M) of a Riemannian manifold M which generalizes Sasaki metric and Cheeger Gromoll metric and a compatible almost complex structure which together with the metric confers to T (M) a structure of locally conformal almost Kählerian manifold. This is the natural generalization of the well known almost Kählerian structure on T (M). W...

The present study initially introduced a new type Lorentzian almost para contact manifold using the generalized symmetric metric connections of $(\alpha,\beta)$. Later, some results is given about manifold.
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In this paper, we study some geometrical properties of almost contact metric manifolds equipped with semi-symmetric non-metric connection. In the last, properties of group manifold are given.

A 3D almost-Riemannian manifold is a generalized Riemannian manifold defined locally by 3 vector fields that play the role of an orthonormal frame, but could become collinear on some set Z called the singular set. Under the Hormander condition, a 3D almost-Riemannian structure still has a metric space structure, whose topology is compatible with the original topology of the manifold. Almost-Rie...

The goal of the paper is to deliberate conformal Ricci soliton and *-conformal within framework paracontact geometry. Here we prove that if an ?-Einstein para-Kenmotsu manifold admits soliton, then it Einstein. Further have shown 3-dimensional para-cosymplectic flat satisfies where vector field conformal. We also constructed some examples verify our results.

In Section 2, we give preliminaries on f-Kenmotsu manifolds. The concept of f-Kenmotsu manifold, where f is a real constant, appears for the first time in the paper of Jannsens and Vanhecke 1 . More recently, Olszak and Roşca 2 defined and studied the f-Kenmotsu manifold by the formula 2.3 , where f is a function on M such that df ∧ η 0. Here, η is the dual 1-form corresponding to the character...