Results 91 to 100 of about 14,803 (150)
The geometry of domains with negatively pinched K\"ahler metrics
, 2018 We study how the existence of a negatively pinched K\"ahler metric on a domain in complex Euclidean space restricts the geometry of its boundary. In particular, we show that if a convex domain admits a complete K\"ahler metric, with pinched negative ...
Bracci, Filippo +2 more
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Kähler tubes of constant radial holomorphic sectional curvature
Manuscripta Mathematica, 1997 Let \(\pi: N\to P\) be a \(C^\infty\) complex vector bundle of real rank \(2k\) over a Kähler manifold \(P\) and let \(M^k(4\lambda)\) be a complex space form of constant holomorphic sectional curvature \(4\lambda\) and complex dimension \(k\). Using these data, the authors have introduced in [\textit{A. Lluch} and \textit{V. Miquel}, Geom. Dedicata 61,
Lluch, Ana, Miquel, Vicente
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Discrete cyclic systems and circle congruences. [PDF]
Ann Mat Pura Appl, 2022 Hertrich-Jeromin U, Szewieczek G.
europepmc +1 more source
Hermitian manifolds with semi-positive holomorphic sectional curvature [PDF]
Mathematical Research Letters, 2016 We prove that a compact Hermitian manifold with semi-positive but not identically zero holomorphic sectional curvature has Kodaira dimension $-\infty$. As applications, we show that Kodaira surfaces and hyperelliptic surfaces can not admit Hermitian metrics with semi-positive holomorphic sectional curvature although they have nef tangent bundles.
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Compact Hermitian manifolds of constant holomorphic sectional curvature
Mathematische Zeitschrift, 1985 Although compact Kähler manifolds of constant holomorphic sectional curvature have been classified [\textit{S. Kobayashi} and \textit{K. Nomizu}, Foundations of differential geometry, vol. II (1969; Zbl 0175.485)], little is known of the more general Hermitian case.
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Ruelle Zeta Function from Field Theory. [PDF]
Ann Henri Poincare, 2020 Hadfield C, Kandel S, Schiavina M.
europepmc +1 more source
The Siegel-Klein Disk: Hilbert Geometry of the Siegel Disk Domain. [PDF]
Entropy (Basel), 2020 Nielsen F.
europepmc +1 more source
Pollicott-Ruelle Resonant States and Betti Numbers. [PDF]
Commun Math Phys, 2020 Küster B, Weich T.
europepmc +1 more source
Holomorphic sectional curvature and Kähler-like metric
Scientia Sinica Mathematica, 2020 T. Kai
semanticscholar +1 more source
A $K$-space of constant holomorphic sectional curvature
Kodai Mathematical Journal, 1976 Takamatsu, Kichiro, Sato, Takuji
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