Results 1 to 10 of about 74 (70)

Deformation classes in generalized Kähler geometry

Complex Manifolds, 2020
We describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry.
Gibson Matthew, Streets Jeffrey
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The commutative nonassociative algebra of metric curvature tensors

Forum of Mathematics, Sigma, 2021
The space of tensors of metric curvature type on a Euclidean vector space carries a two-parameter family of orthogonally invariant commutative nonassociative multiplications invariant with respect to the symmetric bilinear form determined by the metric ...
Daniel J. F. Fox
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The Soliton-Ricci Flow with variable volume forms

Complex Manifolds, 2016
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
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Calabi flow on toric varieties with bounded Sobolev constant, I

Complex Manifolds, 2016
Let (X, P) be a toric variety. In this note, we show that the C0-norm of the Calabi flow φ(t) on X is uniformly bounded in [0, T) if the Sobolev constant of φ(t) is uniformly bounded in [0, T).
Huang Hongnian
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Action-Amplitude Approach to Controlled Entropic Self-Organization

Entropy, 2014
Motivated by the notion of perceptual error, as a core concept of the perceptual control theory, we propose an action-amplitude model for controlled entropic self-organization (CESO).
Vladimir Ivancevic, Darryn Reid, Jason Scholz   +2 more
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Kähler metrics via Lorentzian Geometry in dimension four

Complex Manifolds, 2019
Given a semi-Riemannian 4-manifold (M, g) with two distinguished vector fields satisfying properties determined by their shear, twist and various Lie bracket relations, a family of Kähler metrics gK is constructed, defined on an open set in M, which ...
Aazami Amir Babak, Maschler Gideon
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Collapsing immortal Kähler-Ricci flows

Forum of Mathematics, Pi
We consider the Kähler-Ricci flow on compact Kähler manifolds with semiample canonical bundle and intermediate Kodaira dimension, and show that the flow collapses to a canonical metric on the base of the Iitaka fibration in the locally smooth topology ...
Hans-Joachim Hein, Man-Chun Lee, Valentino Tosatti   +2 more
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Continuity Equation of Transverse Kähler Metrics on Sasakian Manifolds

Mathematics
We introduce the continuity equation of transverse Kähler metrics on Sasakian manifolds and establish its interval of maximal existence. When the first basic Chern class is null (resp. negative), we prove that the solution of the (resp.
Yushuang Fan, Tao Zheng
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Structural properties of the sets of positively curved Riemannian metrics on generalized Wallach spaces

Қарағанды университетінің хабаршысы. Математика сериясы
In the present paper sets related to invariant Riemannian metrics of positive sectional and (or) Ricci curvature on generalized Wallach spaces are considered.
N.A. Abiev
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Pair of Associated η-Ricci–Bourguignon Almost Solitons with Vertical Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

Mathematics
The manifolds studied are almost contact complex Riemannian manifolds, known also as almost contact B-metric manifolds. They are equipped with a pair of pseudo-Riemannian metrics that are mutually associated to each other using an almost contact ...
Mancho Manev
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