Ünal, İnan; Altın, Mustafa; Pandey, Shashikant

In this study, we consider various geometric conditions associated with the vanishing of a generalized curvature tensor, namely the T-tensor, on N(κ)-contact metric manifolds. We define and analyze several types of T-flatness conditions, including T-flat, ξ-T-flat, quasi-T-flat, and φ-T-flat structures. By applying these flatness conditions, we obtain algebraic constraints on the curvature parameters, particularly involving the Ricci tensor. The resulting characterizations allow for the classification of N(κ)-contact metric manifolds as either Einstein or η-Einstein, depending on the specific values of the structure constants. These investigations also lead to deeper insights into the geometric structure and local isometry types of the manifolds under study.

AtıfScopus1·OpenAlex1

İncele

Altın, Mustafa; Üna, İnan; Mofarreh, Fatemah

In this paper, we investigate the interpolation of surfaces which are obtained from an isoasymptotic curve in 3D-Euclidean space. We prove that there exists a unique C0-Hermite surface interpolation related to an isoasymptotic curve under some special conditions on the marching scale functions. Finally, we present some examples and plot their graphs.

İncele

Ünal, İnan; Altın, Mustafa

In this paper, we characterize N(κ)-contact metric manifolds with generalized Tanaka-Webster connection.We obtain some curvature properties. It is proven that if an N(κ)-contact metric manifold with generalized Tanaka-Webster connection is K-contact then it is an example of generalized Sasakian space form. Also, we examine some flatness and symmetric conditions of concircular curvature tensor on an N(κ)-contact metric manifolds with generalized Tanaka-Webster connection.

AtıfScopus5·WoS1·OpenAlex2

İncele