For a Riemannian submersion pi:Mn-\u3eBbwith totally geodesic fibers, the submersion invariant (see attached abstract for equation) was introduced using the integrability tensor of the submersion. B. Y. Chen has provided the inequality on this invariant if the manifold M admits an isometric immersion into a Riemannian manifold Mm. Some of the recent results on this invariant are included with examples. This is a continuation of the work published in 2013. See attached abstract for full equations
This thesis consists of work that was carried out in three separate papers that were written during ...
Abstract. B. Sahin [12] introduced the notion of semi-invariant Riemannian submersions as a generali...
Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and ...
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with tota...
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with tota...
In an earlier article we obtain a sharp inequality for an arbitrary isometric immer-sion from a Riem...
In [1], it has shown that if a Riemannian manifold admits a non- trivial Riemannian submersion with ...
We study Riemannian and semi-invariant submersions whose total manifolds are locally product Riemann...
We study Riemannian and semi-invariant submersions whose total man-ifolds are locally product Rieman...
Riemannian Submersions. The Hopf Fibration. Fundamental Tensors and Fundamental Equations. Geode...
Riemannian Submersions. The Hopf Fibration. Fundamental Tensors and Fundamental Equations. Geode...
In this paper, we study Riemannian, anti-invariant and Lagrangian submersions from locally product R...
In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove t...
In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first...
This thesis consists of work that was carried out in three separate papers that were written during ...
This thesis consists of work that was carried out in three separate papers that were written during ...
Abstract. B. Sahin [12] introduced the notion of semi-invariant Riemannian submersions as a generali...
Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and ...
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with tota...
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with tota...
In an earlier article we obtain a sharp inequality for an arbitrary isometric immer-sion from a Riem...
In [1], it has shown that if a Riemannian manifold admits a non- trivial Riemannian submersion with ...
We study Riemannian and semi-invariant submersions whose total manifolds are locally product Riemann...
We study Riemannian and semi-invariant submersions whose total man-ifolds are locally product Rieman...
Riemannian Submersions. The Hopf Fibration. Fundamental Tensors and Fundamental Equations. Geode...
Riemannian Submersions. The Hopf Fibration. Fundamental Tensors and Fundamental Equations. Geode...
In this paper, we study Riemannian, anti-invariant and Lagrangian submersions from locally product R...
In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove t...
In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first...
This thesis consists of work that was carried out in three separate papers that were written during ...
This thesis consists of work that was carried out in three separate papers that were written during ...
Abstract. B. Sahin [12] introduced the notion of semi-invariant Riemannian submersions as a generali...
Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and ...
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