The study of constant mean curvature surfaces in a space-form has been an active field since the work of H. Hopf in the 1920’s and H.Liebmann in the years around 1900. The questions which are generally of interest are global questions of existence and uniqueness in complete 3-manifolds. We deal in this short paper on a question of existence and uniqueness with respect to the complex structure a...

This paper aims to study some semi-symmetric and curvature tensor conditions on α-Kenmotsu pseudo-metric manifolds. Some of semi-symmetric, locally symmetric, the Ricci are considered such Also, relationships between M-projective conformal tensor, concircularly conharmonic investigated. Finally, an example structure is given.

This article aims to study almost α-Kenmotsu pseudo-Riemannian structure. We first focus on the concept of structure and its basic properties. Then, we shall prove some fundamental formulas classification results such manifolds with CR-integrable Finally, illustrative examples manifold are given.

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.

We show that the character space of the vector-valued Lipschitz algebra $Lip^{alpha}(X, E)$ of order $alpha$ is homeomorphic to the cartesian product $Xtimes M_E$ in the product topology, where $X$ is a compact metric space and $E$ is a unital commutative Banach algebra. We also characterize the form of each character on $Lip^{alpha}(X, E)$. By appealing to the injective tensor product, we the...