Results 21 to 30 of about 57 (57)
A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds [PDF]
Épijournal de Géométrie Algébrique, 2018 A vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori implies that E is finite if and only if the pullback of E to some finite etale Galois covering of ...
Indranil Biswas, Vamsi Pritham Pingali
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New representation of the non‐symmetric homogeneous bounded domains in ℂ4 and ℂ5
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 741-752, 1992., 1990 This paper deals with the corresponding solvable Lie algebra to each of non‐symmetric homogeneous bounded domains in ℂ4 and ℂ5 by special set of matrices. Some interesting properties of Kähler manifolds are found. The theory of s‐structure on a complete Riemann manifold is also studied.
Gr. Tsagas, G. Dimou
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EXISTENCE AND COMPACTNESS THEORY FOR ALE SCALAR-FLAT KÄHLER SURFACES
Forum of Mathematics, Sigma, 2020 Our main result in this article is a compactness result which states that a noncollapsed sequence of asymptotically locally Euclidean (ALE) scalar-flat Kähler metrics on a minimal Kähler surface whose Kähler classes stay in a compact subset of the ...
JIYUAN HAN, JEFF A. VIACLOVSKY
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On the integrability of a K‐conformal killing equation in a Kaehlerian manifold
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 525-531, 1991., 1991 We show that necessary and sufficient condition in order that K‐ conformal Killing equation is completely integrable is that the Kaehlerian manifold K2m(m > 2) is of constant holomorphic sectional curvature.
Kazuhiko Takano
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On the three‐dimensional CR‐submanifolds of the six‐dimensional sphere
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 675-678, 1991., 1990 We show that the six‐dimensional sphere does not admit three‐dimensionel totally umbilical proper CR‐submanifolds.
M. A. Bashir
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Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
Complex Manifolds, 2017 We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics.
Bazzoni Giovanni, Marrero Juan Carlos
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On LCK solvmanifolds with a property of Vaisman solvmanifolds
Complex Manifolds, 2022 The purpose in this paper is to determine a locally conformal Kähler solvmanifold such that the nilradical of the solvable Lie group is constructed by a Heisenberg Lie group.
Sawai Hiroshi
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Kähler-Einstein metrics: Old and New
Complex Manifolds, 2017 We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability).
Angella Daniele, Spotti Cristiano
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Estimates for a function on almost Hermitian manifolds
Complex Manifolds, 2021 We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.
Kawamura Masaya
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An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds
Complex Manifolds, 2022 We investigate the Fu-Yau equation on compact almost astheno-Kähler manifolds and show an a priori C0-estiamte for a smooth solution of the equation.
Kawamura Masaya
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