Results 51 to 60 of about 148,144 (172)

FINITENESS THEOREM OF MEROMORPHIC FUNCTIONS ON A COMPLETE KÄHLER MANIFOLD [PDF]

In this article, we will prove a finiteness theorem for nonconstant meromorphic functions satisfying the condition (Cρ) on a complete Kähler manifold which share four distinct ...
Giang, Ha Huong
core   +1 more source

B-Manifold/pytorch_fnet_UwUnet: v1.0.0

, 2020
Release for citable code.
B-Manifold
core   +1 more source

Nullity index of Bochner-Kähler manifolds [PDF]

, 2009
EnThe nullity index of a Bochner-Kähler manifold is calculated.
Calvaruso , G., CALVARUSO, Giovanni   +1 more
core   +1 more source

Lefschetz decompositions of Kudla–Millson theta functions

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley   +1 more source

The asymptotic Mahler measure of Gaussian periods

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen, David Hokken, Berend Ringeling   +2 more
wiley   +1 more source

Hyperkähler and quaternionic Kähler geometry [PDF]

, 1990
A quaternion-Hermitian manifold, of dimension at least 12, with closed fundamental 4-form is shown to be quaternionic Kähler. A similar result is proved for 8-manifolds.
Salamon, Simon, Simon Salamon, Swann, Andrew F.   +2 more
core   +2 more sources

Approximate Ricci‐Flat Metrics for Calabi–Yau Manifolds

Fortschritte der Physik, Volume 74, Issue 7, July 2026.
ABSTRACT We outline a method to determine analytic Kähler potentials with associated approximately Ricci‐flat Kähler metrics on Calabi–Yau manifolds. Key ingredients are numerically calculating Ricci‐flat Kähler potentials via machine learning techniques and fitting the numerical results to Donaldson's ansatz.
Seung‐Joo Lee, Andre Lukas
wiley   +1 more source

Quaternionic Kähler metrics associated with special Kähler manifolds [PDF]

, 2015
We give an explicit formula for the quaternionic Kähler metrics obtained by the HK/QK correspondence. As an application, we give a new proof of the fact that the Ferrara-Sabharwal metric as well as its one-loop deformation is quaternionic Kähler.
Mohaupt, T, Cortés, V, Dyckmanns, M, Alekseevsky, DV   +3 more
core   +1 more source

Simple normal crossing Kähler–Einstein metrics and RCD spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract We show that Kähler–Einstein metrics with cone singularities along simple normal crossing (SNC) divisors define Riemannian Curvature Dimension (RCD) spaces, both in the compact setting and in certain non‐compact cases, thereby producing many examples of Einstein RCD spaces. In particular, we show the existence of smooth non‐compact 4‐manifolds
Martin de Borbon, Cristiano Spotti
wiley   +1 more source

First Robin Eigenvalue of the Laplacian on Kähler and Quaternionic Kähler Manifolds

Mathematics
We investigate the first Robin eigenvalue of the Laplacian on Kähler and quaternionic Kähler manifolds. First, we establish Cheng-type eigenvalue comparison theorems for Kähler manifolds under lower bounds on holomorphic sectional curvature and ...
Shaoheng Zhang, Weijie Zhu
doaj   +1 more source