Saturatedness of dynamical systems under the almost specification property

In this paper: A dynamical system is saturated when for any invariant measure μ, the topological entropy of the set of the μ—generic points equals the measure-theoretic entropy of the system. This fact was confirmed...

Lorentzian para-Sasakian manifold with quarter-symmetric non-metric connection

Oğuzhan Bahadir

In this paper: The object of the present paper is to study quarter symmetric nonmetric connection on a LP-Sasakian manifold. In this paper, we consider some properties of the curvature tensor, projective curvature t...

On mixed super quasi-Einstein warped products

Buddhadev Pal

In this paper: In this paper, we study mixed super quasi-Einstein warped product manifolds for arbitrary dimension n ≥ 3 and we give an example of mixed super quasi-Einstein manifold (MS(QE)n) to ensure the existenc...

Stability of triangular points in the relativistic R3BP when the bigger primary is an oblate spheroid

Nakone Bello, Jagadish Singh

In this paper: In this paper, we study the effect of oblateness of the more massive primary in the relativistic R3BP. We observe that the locations of the triangular points and their stability are affected by the re...

Quaternionic osculating curves in Euclidean and semi-Euclidean space

Özcan Bektaş, Nurten (Bayrak) Gürses, Salîm Yüce

In this paper: In this study, the osculating curves in Euclidean space E3 and E4, well known in differential geometry, are studied through the instrumentality of quaternions. We inoculate sundry delineations for qua...

Some curvature properties of Lorentzian α-Sasakian manifolds

Santu Dey, Arindam Bhattacharyya

In this paper: The object of the present paper is to study the pseudo-projective φ-recurrent and generalized projective recurrent Lorentzian α-Sasakian manifolds. Here we show that pseudo-projective φ-recurrent Lore...