Results 41 to 50 of about 1,036 (81)
Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds
Complex Manifolds, 2023 We study four-dimensional second Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis, the Riemannian dual of the Lee form is a Killing vector field.
Barbaro Giuseppe, Lejmi Mehdi
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Global symplectic coordinates on gradient Kaehler-Ricci solitons
, 2012 A classical result of D. McDuff asserts that a simply-connected complete Kaehler manifold $(M,g,\omega)$ with non positive sectional curvature admits global symplectic coordinates through a symplectomorphism $\Psi: M\rightarrow R^{2n}$ (where $n$ is the ...
A Loi +10 more
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Toric extremal Kähler-Ricci solitons are Kähler-Einstein
Complex Manifolds, 2017 In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature ...
Calamai Simone, Petrecca David
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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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On the balanced condition for the Eguchi-Hanson metric
, 2018 Let $g_{EH}$ be the Eguchi-Hanson metric on the blow-up of $\mathbb{C}^2$ at the origin. In this paper we show that $mg_{EH}$ is not balanced for any positive integer $m$.Comment: 9 pages, 1 figure, to appear in Journal of Geometry and ...
Aghedu, Francesco Cannas
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On totally umbilical CR‐submanifolds of a Kaehler manifold
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 405-408, 1993.
M. A. Bashir
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Some remarks on homogeneous K\"ahler manifolds
, 2015 In this paper we provide a positive answer to a conjecture due to A. J. Di Scala, A. Loi, H. Hishi (see [3, Conjecture 1]) claiming that a simply-connected homogeneous K\"ahler manifold M endowed with an integral K\"ahler form $\mu\omega$, admits a ...
Loi, Andrea, Mossa, Roberto
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Real hypersurfaces of indefinite Kaehler manifolds
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 545-556, 1993.
A. Bejancu, K. L. Duggal
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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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Holomorphic Cartan geometries and rational curves
Complex Manifolds, 2016 We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold.
Biswas Indranil, McKay Benjamin
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