Results 231 to 240 of about 106,337 (269)

Conical Ricci-flat nearly para-Kähler manifolds

Annals of Global Analysis and Geometry, 2013
In this paper, we classify conical Ricci-flat nearly para-Kahler manifolds having isotropic Nijenhuis tensor. More precisely, we give a bijective correspondence between this class of nearly para-Kahler manifolds and local cones \(M_1 \times (a,b)\) over para-Sasaki-Einstein manifolds \((M_1,g_1,T)\) carrying a parallel 3-form with isotropic support ...
L. Schäfer
openaire   +3 more sources

Levi-Civita Ricci-Flat Metrics on Non-Kähler Calabi-Yau Manifolds

Journal of Geometric Analysis, 2022
In this paper, we provide new examples of Levi-Civita Ricci-flat Hermitian metrics on certain compact non-Kähler Calabi-Yau manifolds, including compact Hermitian Weyl-Einstein manifolds, compact locally conformal hyperKähler manifolds, certain ...
Eder M. Correa
semanticscholar   +1 more source

Two conjectures on Ricci-flat Kähler metrics

Mathematische Zeitschrift, 2017
We propose two conjectures about Ricci-flat Kähler metrics: Conjecture 1: A Ricci-flat projectively induced metric is flat. Conjecture 2: A Ricci-flat metric on ann-dimensional complex manifold such that the$$a_{n+1}$$an+1coefficient of the TYZ expansion
A. Loi, Filippo Salis, F. Zuddas
semanticscholar   +2 more sources

The Global Sections of Chiral de Rham Complexes on Compact Ricci-Flat Kähler Manifolds

Communications in Mathematical Physics, 2018
The space of the global sections of the chiral de Rham complex on a compact Ricci-flat Kähler manifold is calculated and it is expressed as the subspace of invariant elements in a βγ-bc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
Bailin Song
semanticscholar   +1 more source

Augmented Weil–Petersson metrics on moduli spaces of polarized Ricci-flat Kähler manifolds and orbifolds

, 2018
. We show that the base complex manifold of an effectively parametrized family of compact polarized Ricci-flat K¨ahler orbifolds, and in particular manifolds, admits a smooth augmented Weil-Petersson metric whose holomorphic sectional curvature is bounded ...
W. To, Sai-Kee Yeung
semanticscholar   +1 more source

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces

arXiv.org
Ever since Yau's non-constructive existence proof of Ricci-flat metrics on Calabi-Yau manifolds, finding their explicit construction remains a major obstacle to development of both string theory and algebraic geometry.
Viktor Mirjani'c, Challenger Mishra
semanticscholar   +1 more source

∗-η-Ricci Soliton within the Framework of Sasakian Manifold

, 2020
In this paper we study ∗-η-Ricci soliton on Sasakian manifolds. Here, we have discussed some curvature properties on Sasakian manifold admitting ∗-η-Ricci soliton.
S. Dey, Soumendu Roy
semanticscholar   +1 more source

ON A CLASS OF RICCI-FLAT DOUGLAS METRICS

, 2012
In this paper, we study a special class of Finsler metrics which are defined by a Riemannian metric and a 1-form on a manifold. We find equations that characterize Ricci-flat Douglas metrics among this class.
E. Sevim, Z. Shen, Lili Zhao
semanticscholar   +1 more source

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