Work

Almost Einstein-hermitian Manifolds

Year: 2024

Type: article

Abstract: In this paper, we show that every almost Einstein-Hermitian 4-manifold (i.e., almost Hermitian 4-manifold with -invariant Ricci tensor and harmonic Weyl tensor) is either Einstein or Hermitian. Consequently, we obtain that any almost Einstein-Hermitian 4-manifold which is not Einstein must be Hermitian and that every almost Einstein-Hermitian 4-manifold which is not Hermitian is Einstein. In contrast to the 4-dimensional case, there exists an almost Einstein-Hermitian manifold of dimension which is neither Einstein nor Hermitian.

Source: JP Journal of Geometry and Topology

DOI: 10.17654/0972415x24008

Author: Jaeman Kim

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4405759895

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