Bismut connection on Vaisman manifolds

被引：8

作者：

Andrada, Adrian ^{[1
]}

Villacampa, Raquel ^{[2
]}

机构：

[1] Univ Nacl Cordoba, CONICET, FaMAF CIEM, Av Medina Allende S-N,Ciudad Univ,X5000HUA, Cordoba, Argentina

[2] Ctr Univ Def Zaragoza IUMA, Acad Gen Mil, Carretera Huesca S-N, Zaragoza 50090, Spain

来源：

MATHEMATISCHE ZEITSCHRIFT | 2022年 / 302卷 / 02期

关键词：

Bismut connection; Holonomy; Locally conformally Kahler manifold; Vaisman manifold; LOCALLY CONFORMAL KAHLER; VANISHING THEOREMS; SOLVMANIFOLDS; METRICS; SPACES;

D O I：

10.1007/s00209-022-03108-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The holonomy of the Bismut connection on Vaisman manifolds is studied. We prove that if M-2n 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.

引用

页码：1091 / 1126

页数：36