Results 41 to 50 of about 957 (90)
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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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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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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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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Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates spacetime manifolds admitting a pseudo‐W2 curvature tensor. We show that a pseudo‐W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant ...
B. B. Chaturvedi +3 more
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On maximal totally real embeddings
Complex ManifoldsWe consider complex structures with totally real zero section of the tangent bundle. We assume that the complex structure tensor is real-analytic along the fibers of the tangent bundle.
Pali Nefton
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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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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan +3 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 weighted Laplacians on real and complex metric measure spaces
, 2014 In this short note we compare the weighted Laplacians on real and complex (K\"ahler) metric measure spaces. In the compact case K\"ahler metric measure spaces are considered on Fano manifolds for the study of K\"ahler-Einstein metrics while real metric ...
Futaki, Akito
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