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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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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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On Bochner Flat Kähler B-Manifolds
Axioms, 2023 We obtain on a Kähler B-manifold (i.e., a Kähler manifold with a Norden metric) some corresponding results from the Kählerian and para-Kählerian context concerning the Bochner curvature. We prove that such a manifold is of constant totally real sectional
Cornelia-Livia Bejan +2 more
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On a k-th Gauduchon almost Hermitian manifold
Complex Manifolds, 2022 We characterize the k-th Gauduchon condition and by applying its characterization, we reprove that a compact k-th Gauduchon, semi-Kähler manifold becomes quasi-Kähler, which tells us that in particular, a compact almost pluriclosed, semi-Kähler manifold ...
Kawamura Masaya
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The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension [PDF]
, 2004 We prove that a holomorphic line bundle on a projective manifold is pseudo-effective if and only if its degree on any member of a covering family of curves is non-negative. This is a consequence of a duality statement between the cone of pseudo-effective
S. Boucksom +3 more
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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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The Monge-Ampère equation for (n − 1)-plurisubharmonic functions on a compact Kähler manifold [PDF]
, 2013 A C function on C is called (n− 1)-plurisubharmonic in the sense of Harvey-Lawson if the sum of any n − 1 eigenvalues of its complex Hessian is nonnegative. We show that the associated MongeAmpère equation can be solved on any compact Kähler manifold. As
Valentino Tosatti, B. Weinkove
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Holomorphic Isometry from a Kähler Manifold into a Product of Complex Projective Manifolds [PDF]
, 2013 We study the global property of local holomorphic isometric mappings from a class of Kähler manifolds into a product of projective algebraic manifolds with induced Fubini-Study metrics, where isometric factors are allowed to be negative.
Xiaojun Huang, Yuan Yuan
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Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure [PDF]
Compositio Mathematica, 2021 We introduce a linearised form of the square root of the Todd class inside the Verbitsky component of a hyper-Kähler manifold using the extended Mukai lattice.
T. Beckmann
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On Kähler-like and G-Kähler-like almost Hermitian manifolds
Complex Manifolds, 2020 We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
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