Results 11 to 20 of about 6,795 (182)
Duality and Some Links Between Riemannian Submersion, F-Harmonicity, and Cohomology [PDF]
Fundamentally, duality gives two different points of view of looking at the same object. It appears in many subjects in mathematics (geometry, algebra, analysis, PDEs, Geometric Measure Theory, etc.) and in physics.
Bang-Yen Chen, Shihshu (Walter) Wei
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Bi-slant $\xi^{\perp}$-Riemannian submersions
We introduce bi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of slant and semi-slant $\xi^{\perp}$-Riemannian submersion and present some examples. We give the necessary and sufficient conditions for the integration of the distributions used to define the bi-slant $\xi^{\perp ...
Sezin Aykurt Sepet
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Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds
The purpose of this paper is to study anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Several fundamental results in this respect are proved. The integrability of the distributions and the geometry of foliations are investigated.
Ayşe Beri +2 more
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Slant Riemannian submersions from Sasakian manifolds
We introduce and characterize slant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of slant Riemannian submersions defined on Sasakian manifolds.
I. Küpeli Erken, C. Murathan
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Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds
We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic.
Cengizhan Murathan, Erken Küpeli
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Biharmonic Riemannian submersions [PDF]
In this paper, we study biharmonic Riemannian submersions. We first derive bitension field of a general Riemannian submersion, we then use it to obtain biharmonic equations for Riemannian submersions with $1$-dimensional fibers and Riemannian submersions with basic mean curvature vector fields of fibers.
Akyol, Mehmet Akif, Ou, Ye-Lin
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A study of horizontally weakly conformal maps and their distributions [PDF]
The aim of this paper is to consider horizontally weakly conformal maps which have been studied in [P. Baird and J. C. Wood, Harmonic morphisms between Riemannian manifolds, London Mathematical Society Monographs.
Mehran Aminian
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Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection
In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection.
Ramazan Sarı
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Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation
This research article endeavors to discuss the attributes of Riemannian submersions under the canonical variation in terms of the conformal η-Ricci soliton and gradient conformal η-Ricci soliton with a potential vector field ζ.
Mohd. Danish Siddiqi +3 more
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Isotropic Riemannian submersions
Summary: In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first give examples to illustrate this new notion. Then we express a characterization in terms of O'Neill's tensor field T and examine certain relations between sectional curvatures of the total manifold and the base manifold. We also study \(\lambda\
Feyza Esra ERDOĞAN, Bayram ŞAHİN
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