Results 1 to 10 of about 839,625 (96)

On Nearly Sasakian and Nearly Kähler Statistical Manifolds

Mathematics, 2023
In this paper, we introduce the notions of nearly Sasakian and nearly Kähler statistical structures with a non-trivial example. The conditions for a real hypersurface in a nearly Kähler statistical manifold to admit a nearly Sasakian statistical ...
Siraj Uddin, Esmaeil Peyghan, Leila Nourmohammadifar, Rawan Bossly   +3 more
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Canonical submersions in nearly Kähler geometry

Complex Manifolds
We explore submersions introduced by reducible holonomy representations of connections with parallel skew torsion. A submersion theorem extending previous, less general, results is given. As our main application, we show that parallel 3-(α,δ)\left(\alpha
Stecker Leander
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Global Conharmonic Concept Type Nearly Kahler Manifold

Tikrit Journal of Pure Science, 2023
The concept of permanence conharmonic type Nearly Kahler manifold conditions are obtained when the Nearly Kahler manifold is a manifold conharmonic constant type.
Ali A. Shihab
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Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds

Mathematics, 2023
Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
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K- constant type Kahler and Nearly Kahler manifolds for conharmonic curvature tensor

Tikrit Journal of Pure Science, 2023
The constant of permanence conharmonic type kahler and nearly kahler manifold conditions are obtained when the Nearly Kahler manifold is a manifold conharmonic constant type (K).
Ali A. Shihab, Rana H. jasim
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Nearly Sasakian Manifolds of Constant Type

Axioms, 2022
The article deals with nearly Sasakian manifolds of a constant type. It is proved that the almost Hermitian structure induced on the integral manifolds of the maximum dimension of the first fundamental distribution of the nearly Sasakian manifold is a ...
Aligadzhi Rustanov
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Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds

Journal of High Energy Physics, 2019
We construct a consistent four-scalar truncation of ten-dimensional IIA supergravity on nearly Kähler spaces in the presence of dilatino condensates. The truncation is universal, i.e.
Robin Terrisse, Dimitrios Tsimpis
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The Shape Operator of Real Hypersurfaces in S⁶(1)

Mathematics
The aim of the paper is to present two results concerning real hypersurfaces in the six-dimensional sphere S6(1). More precisely, we prove that real hypersurfaces with the Lie-parallel shape operator A must be totally geodesic hyperspheres. Additionally,
Djordje Kocić, Miroslava Antić
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Four-Dimensional CR Submanifolds of the Homogeneous Nearly Kähler Product Manifold ${\mathbb{S}}^3\times {\mathbb{S}}^3$

Mathematics
This article presents results on four-dimensional CR submanifolds of the homogeneous nearly Kähler product manifold S3×S3. In the research of CR submanifolds of S3×S3, the most important role in the classification is played by the action of the almost ...
Nataša Djurdjević
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Classification of Four-Dimensional CR Submanifolds of the Homogenous Nearly Kähler ${\mathbb{S}}^{\mathbf{3}}\mathbf{\times }{\mathbb{S}}^{\mathbf{3}}$ Which Almost Complex Distribution Is Almost Product Orthogonal on Itself

Mathematics
The product manifold S3×S3, which belongs to the homogenous six-dimensional nearly Kähler manifolds, admits two structures, the almost complex structure J and the almost product structure P.
Nataša Djurdjević
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