Results 151 to 160 of about 15,601 (190)
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The sixteen classes of almost Hermitian manifolds and their linear invariants
Annali Di Matematica Pura Ed Applicata, 1980Alfred Gray, Gray Alfred
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J-harmonic functions on almost Hermitian manifolds
Differential Geometry and its Applications, 2020We define an operator Δ J on any almost Hermitian manifold by first projecting the gradient of a function to the tangent space of its level set, and then taking the divergence. We call Δ J the J-Laplacian operator.
Chris L Lin
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Product of Almost-Hermitian Manifolds [PDF]
Journal of Geometric Analysis, 2012 This is a continuous work about the nonexistence of some complete metrics on the product of two manifolds studied by Tam-Yu [Asian Journal of Mathematics, 14(2010)]. Motivated by the result of Tossati [Comm.Anal.Geom. 15(2007)]. We generalize the corresponding results of Tam-Yu [Asian Journal of Mathematics, 14(2010)] to the almost-Hermitian case.
Xu-Qian Fan +2 more
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On the Hypersurfaces of Almost Hermitian Statistical Manifolds
Bulletin of the Iranian Mathematical Society, 2021The authors study statistical hypersurfaces on almost Hermitian and almost Kähler statistical manifolds. They find conditions under which hypersurfaces on almost Hermitian manifolds are almost contact metric statistical manifolds. Furthermore, they find a necessary and sufficient condition for an almost contact metric statistical hypersurface defined ...
Haniyeh Akbari
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Almost Quaternion-Hermitian Manifolds [PDF]
Annals of Global Analysis and Geometry, 2004 Following the point of view of Gray and Hervella, we derive detailed conditions which characterize each one of the classes of almost quaternion-Hermitian $4n$-manifolds, $n>1$. Previously, by completing a basic result of A. Swann, we give explicit descriptions of the tensors contained in the space of covariant derivatives of the fundamental form $Ω$
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The holomorphic d-scalar curvature on almost Hermitian manifolds
Science China Mathematics, 2022In this paper, we study the existence of conformal metrics with constant holomorphic d-scalar curvature and the prescribed holomorphic d-scalar curvature problem on closed, connected almost Hermitian manifolds of dimension n ⩾ 6.
Jianquan Ge, Yi Zhou
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Fully non-linear elliptic equations on compact almost Hermitian manifolds
Calculus of Variations and Partial Differential Equations, 2021In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian equation and the Monge–Ampère equation for $$(n-1)$$ ( n -
Jianchun Chu +2 more
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Almost hermitian manifolds and Osserman condition
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2001The aim of this work is to extend a previous result of \textit{Q.-S. Chi} [J. Differ. Geom. 28, 187-202 (1988; Zbl 0654.53053)] which shows that Osserman Kähler manifolds are complex space forms provided that the holomorphic sectional curvature is nonpositive or nonnegative.
Blažić, N., Prvanović, M.
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Monge—Ampère Type Equations on Almost Hermitian Manifolds
Acta Mathematica Sinica. English series, 2021In this paper we consider the Monge–Ampère type equations on compact almost Hermitian manifolds. We derive C∞ a priori estimates under the existence of an admissible C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage ...
Jiaorong Zhang
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