Results 41 to 50 of about 937 (72)
RC-positive metrics on rationally connected manifolds
Forum of Mathematics, Sigma, 2020 In this paper, we prove that if a compact Kähler manifold X has a smooth Hermitian metric $\omega $ such that $(T_X,\omega )$ is uniformly RC-positive, then X is projective and rationally connected. Conversely, we show that, if a projective
Xiaokui Yang
doaj +1 more source
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
doaj +1 more source
Locally conformally K\"ahler manifolds with holomorphic Lee field
, 2017 We prove that a compact lcK manifold with holomorphic Lee vector field is Vaisman provided that either the Lee field has constant norm or the metric is Gauduchon (i.e., the Lee field is divergence-free).
Moroianu, Andrei +2 more
core +1 more source
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
doaj +1 more source
Kahler geometry of toric varieties and extremal metrics
, 1997 Recently Guillemin gave an explicit combinatorial way of constructing "toric" Kahler metrics on (symplectic) toric varieties, using only data on the moment polytope. In this paper, differential geometric properties of these metrics are investigated using
Abreu, Miguel
core +4 more sources
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
wiley +1 more source
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
doaj +1 more source
A neutral relation between metallic structure and almost quadratic {\phi}-structure
, 2018 In this paper, metallic structure and almost quadratic metric phi-structure are studied. Based on metallic (polynomial) Riemannian manifold, Kenmotsu quadratic metric manifold, cosymplectic quadratic metric manifold are defined and gave some examples ...
Erken, İrem Küpeli +3 more
core +1 more source
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
wiley +1 more source
A Note on the L2-norm of the Second Fundamental Form of Algebraic Manifolds [PDF]
, 2010 2000 Mathematics Subject Classification: 53C42, 53C55.Let M f → CP^n be an algebraic manifold of complex dimension d and let σf be its second fundamental form. In this paper we address the following conjecture, which is the analogue of the one stated by
Loi, Andrea, Zedda, Michela
core