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Full-Text Articles in Physical Sciences and Mathematics
Clairaut Invariant Riemannian Maps With Kahler Structure, Akhilesh Yadav, Kiran Meena
Clairaut Invariant Riemannian Maps With Kahler Structure, Akhilesh Yadav, Kiran Meena
Turkish Journal of Mathematics
In this paper, we study Clairaut invariant Riemannian maps from Kahler manifolds to Riemannian manifolds, and from Riemannian manifolds to Kahler manifolds. We find necessary and sufficient conditions for the curves on the total spaces and base spaces of invariant Riemannian maps to be geodesic. Further, we obtain necessary and sufficient conditions for invariant Riemannian maps from Kahler manifolds to Riemannian manifolds to be Clairaut invariant Riemannian maps. Moreover, we obtain a necessary and sufficient condition for invariant Riemannian maps from Riemannian manifolds to Kahler manifolds to be Clairaut invariant Riemannian maps. We also give nontrivial examples of Clairaut invariant …
Some Recent Results In Plastic Structure On Riemannian Manifold, Akbar Dehghan Nezhad, Zohreh Aral
Some Recent Results In Plastic Structure On Riemannian Manifold, Akbar Dehghan Nezhad, Zohreh Aral
Turkish Journal of Mathematics
The plastic ratio is a fascinating topic that continually generates new ideas. The purpose of this paper is to point out and find some applications of the plastic ratio in the differential manifold. Precisely, we say that an $(1,1)$-tensor field $P$ on a $m$-dimensional Riemannian manifold $(M, g)$ is a plastic structure if it satisfies the equation $ P^3 = P + I $, where $ I $ is the identity. We establish several properties of the plastic structure. Then we show that a plastic structure induces on every invariant submanifold a plastic structure, too.