Geometric formalities along the Chern-Ricci flow

Abstract

In this paper, we study how the notions of geometric formality according to Kotschick and other geometric formalities adapted to the Hermitian setting evolve under the action of the Chern-Ricci flow on class VII surfaces, including Hopf and Inoue surfaces, and on Kodaira surfaces.

arXiv commentto appear in Complex Anal. Oper. Theory

References in corpus (10)

• On the evolution of a Hermitian metric by its Chern-Ricci form
• On the $\partial \overline{\partial }$-Lemma and Bott-Chern cohomology
• The cohomologies of the Iwasawa manifold and of its small deformations
• On products of harmonic forms
• Invariant solutions to the Strominger system and the heterotic equations of motion
• Bott-Chern cohomology of solvmanifolds
• On Bott-Chern cohomology and formality
• On Bott-Chern cohomology of compact complex surfaces
• Geometric formality of homogeneous spaces and of biquotients
• Quantitative and qualitative cohomological properties for non-Kähler manifolds

Cited by in corpus (2)

• Hermitian curvature flow on complex locally homogeneous surfaces
• Leafwise flat forms on Inoue-Bombieri surfaces