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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,291 papers · 148 categories

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0111 · Aug 201619922001200920182026
8 results for “Chern-Einstein”
Second-Chern-Einstein metrics on 4-dimensional almost-Hermitian manifoldsmath.DG

Study second-Chern-Einstein metrics on 4D manifolds, finding Killing vector fields and examples.

problem Investigate second-Chern-Einstein metrics on 4D almost-Hermitian manifolds.
method Analyze compact and unimodular almost-abelian Lie algebras, use Killing vector fields and parallel non-zero Lee forms.
result Describe 4D compact second-Chern-Einstein locally conformally symplectic manifolds and classify unimodular almost-abelian Lie algebras with second-Chern-Einstein metrics.
second-Chern-Einstein4D manifoldsalmost-HermitianKilling vector fieldlocally conformally symplectic
2022-05-06abs ↗pdf ↗
Homogeneous almost Kähler manifolds and the Chern-Einstein equationmath.DG

The study classifies Chern-Einstein homogeneous almost Kähler manifolds.

problem Classifying Chern-Einstein homogeneous almost Kähler manifolds.
method Description of homogeneous spaces with invariant almost Kähler structures and classification based on Chern-Einstein condition.
result Classification of Chern-Einstein homogeneous almost Kähler manifolds for specific Lie groups.
Chern-Einsteinalmost Kählerhomogeneous spacesLie groupsRicci form
2018-11-09abs ↗pdf ↗
Generalized almost-Kähler-Ricci solitonsmath.DG

Study of generalized almost-Kähler-Ricci solitons and their implications.

problem Existence of first-Chern-Einstein almost-Kähler metrics on compact symplectic Fano manifolds.
method Generalization of Kähler-Ricci solitons to almost-Kähler setting, study of moment map and Lie algebra of holomorphic vector fields.
result Existence of generalized almost-Kähler-Ricci solitons as obstructions and implications for symplectic Fano manifolds.
almost-KählerRicci solitonssymplectic Fanomoment mapholomorphic vector fields
2024-02-06abs ↗pdf ↗
On cohomogeneity one Hermitian non-Kähler metricsmath.DG

Study on special Hermitian metrics on cohomogeneity one manifolds.

problem Characterizing and constructing Hermitian metrics on cohomogeneity one manifolds.
method Investigation of geometry of Hermitian manifolds with compact Lie group action by holomorphic isometries.
result Construction of new examples of cohomogeneity one Hermitian metrics solving specific equations.
Hermitian metricscohomogeneity oneLie group actionChern-Einstein equationconstant Chern-scalar curvature
2020-10-16abs ↗pdf ↗
Homogeneous Hermitian manifolds and special metricsmath.DG

We consider non-Kaehler compact complex manifolds which are homogeneous under the action of a compact Lie group of biholomorphisms and we investigate the existence of special (invariant) Hermitian metrics on these spaces. We focus on a particular class of such manifolds comprising the case of Calabi-Eckmann manifolds a…

2016-08-29abs ↗pdf ↗
Curvatures of real connections on Hermitian manifoldsmath.DG

The paper explores the geometry of real connections on Hermitian manifolds and derives Kähler-Einstein metrics.

problem Investigating the geometry of real connections on Hermitian manifolds.
method Analyzing the relationship between real connections and Hermitian connections, focusing on the real Chern connection.
result Derives Kähler-Einstein metrics using real Chern-Einstein metrics.
real connectionsHermitian manifoldsChern connectionKähler-Einstein metrics
2019-12-27abs ↗pdf ↗