Work

Geometries with parallel, skew-symmetric and closed torsion

Year: 2026

Type: preprint

Abstract: We study Riemannian manifolds carrying a metric connection with parallel, skew-symmetric and closed torsion, which we call in short PSCT manifolds. We prove that PSCT manifolds always locally split into a product of well-understood factors, allowing a complete local classification. Further, we investigate various $G$-structures of PSCT type, with a focus on almost Hermitian structures and their possible Gray--Hervella classes.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.13227

Authors: Moroianu, Andrei, Schwahn, Paul

Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Mathématiques d'Orsay, IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, Romanian Academy, Universidade Estadual de Campinas (UNICAMP)

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7161170010

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