Results 31 to 40 of about 957 (90)
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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CR‐hypersurfaces of complex projective space
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 613-616, 1994., 1994 We consider compact n‐dimensional minimal foliate CR‐real submanifolds of a complex projective space. We show that these submanifolds are great circles on a 2‐dimensional sphere provided that the square of the length of the second fundamental form is less than or equal to n − 1.
M. A. Bashir
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Stenzel's Ricci-flat Kaehler metrics are not projectively induced [PDF]
, 2020 We investigate the existence of a holomorphic and isometric immersion in the complex projective space for the complete Ricci-flat Kaehler metrics constructed by M. B.
Zedda, Michela
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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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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
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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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K\"ahler manifolds with negative holomorphic sectional curvature, K\"ahler-Ricci flow approach
, 2017 Recently, Wu-Yau and Tosatti-Yang established the connection between the negativity of holomorphic sectional curvatures and the positivity of canonical bundles for compact K\"ahler manifolds.
Nomura, Ryosuke
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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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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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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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