Bismut connection on Vaisman manifolds

Andrada, Adrián ; Villacampa, Raquel

Resumen: The holonomy of the Bismut connection on Vaisman manifolds is studied. We prove that if M2n is endowed with a Vaisman structure, then the holonomy group of the Bismut connection is contained in U(n-1). We compute explicitly this group for particular types of manifolds, namely, solvmanifolds and some classical Hopf manifolds.

Idioma: Inglés

DOI: 10.1007/s00209-022-03108-2

Año: 2022

Publicado en: MATHEMATISCHE ZEITSCHRIFT 302, 2 (2022), 1091-1126
ISSN: 0025-5874

Originalmente disponible en: Texto completo de la revista

Factor impacto JCR: 0.8 (2022)

Categ. JCR: MATHEMATICS rank: 170 / 329 = 0.517 (2022) - Q3 - T2

Factor impacto CITESCORE: 1.4 - Mathematics (Q3)

Factor impacto SCIMAGO: 1.138 - Mathematics (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2020-115652GB-I00
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E22-17R

Tipo y forma: Artículo (PostPrint)