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Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet (M, g, ∇) be a 2n-dimensional quasi-statistical manifold that admits a pseudo-Riemannian metric g (or h) and a linear connection ∇ with torsion. This paper aims to study an almost Hermitian structure (g, J ) and an almost anti-Hermitian structure (h,
Aktaş Buşra, Gezer Aydin, Durmaz Olgun
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NOTES ON CRITICAL ALMOST HERMITIAN STRUCTURES [PDF]
Bulletin of the Korean Mathematical Society, 2010 We discuss the critical points of the functional F‚,µ(J,g) = R M (‚?+µ? ⁄ )dvg on the spaces of all almost Hermitian structures AH(M) with (‚,µ) 2 R 2 i (0,0), where ? and ? ⁄ being the scalar curvature and the ⁄-scalar curvature of (J,g), respectively.
Kouei Sekigawa
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Chern-flat and Ricci-flat invariant almost Hermitian structures
Annals of Global Analysis and Geometry, 2010 Let \((M, g, J)\) be an almost Hermitian manifold and \(\nabla \) its Chern connection, which in the quasi-Kähler case coincides with the so-called second canonical Hermitian connection. Let \(R\) be the curvature tensor and \(\text{Ric}(J)(X, Y):=\frac{1}{2}Tr_{\omega }R(X, Y, \cdot, \cdot )\) be the Ricci form of \(\nabla \), where \(\omega \) is the
Luigi Vezzoni +2 more
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Almost Hermitian structure on $S^6$ [PDF]
Tohoku Mathematical Journal, 1955 Shigeru Ishihara
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ALMOST HERMITIAN STRUCTURES [PDF]
Total Mean Curvature and Submanifolds of Finite Type, 1995 exaly +2 more sources
Almost Kaehlerian and Hermitian Structures on Four Dimensional Indecomposable Lie Algebras
Universal Journal of Mathematics and Applications, 2022 It is known that from a given almost Hermitian structure on a simply connected Liegroup, one can obtain left-invariant almost Hermitian structure on its Lie algebra.In this work, we consider Mubarakzyanov’s classification of four-dimensional realLie ...
Mehmet Solgun
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On nearly Kählerian manifolds and quasi-Sasakian hypersurfaces axiom
Дифференциальная геометрия многообразий фигур, 2021 It is known that an almost contact metric structure is induced on an arbitrary hypersurface of an almost Hermitian manifold. The case when the almost Hermitian manifold is nearly Kählerian and the almost contact metric structure on its hypersurface is ...
G.A. Banaru
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On the covariant differential of an almost hermitian structure
Commentarii Mathematici Helvetici, 1975 exaly +2 more sources
On stability of Hermitian structures on 6-dimensional planar submanifolds of Cayley algebra
Дифференциальная геометрия многообразий фигур, 2021 We consider 6-dimensional planar submanifolds of Cayley algebra. As it is known, the so-called Brown — Gray three-fold vector cross products induce almost Hermitian structures on such submanifolds. We select the case when the almost Hermitian structures
M.B. Banaru, G.A. Banaru
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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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