A classification of the torsion tensors on almost contact manifolds with
  B-metric

A Gray; A Lichnerowicz; A Lichnerowicz; A Strominger; AM Naveira; D Gribacheva; D Gribacheva; D Gribacheva; D Mekerov; D Mekerov; G Ganchev; G Ganchev; G Ganchev; G Ganchev; G Ganchev; G Nakova; J-M Bismut; K Yano; K Yano; M Manev; M Manev; M Manev; M Manev; M Manev; M Manev; M Manev; M Staikova; N Tanaka; O Biquard; P Gauduchon; P Ivanov; S Ivanov; S Tanno; SJ Gates; SM Webster; SS Chern; T Friedrich; T Friedrich; V Alexiev

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A classification of the torsion tensors on almost contact manifolds with B-metric

Authors: A Gray
A Lichnerowicz
A Lichnerowicz
A Strominger
AM Naveira
D Gribacheva
D Gribacheva
D Gribacheva
D Mekerov
D Mekerov
G Ganchev
G Ganchev
G Ganchev
G Ganchev
G Ganchev
G Nakova
J-M Bismut
K Yano
K Yano
M Manev
M Manev
M Manev
M Manev
M Manev
M Manev
M Manev
M Staikova
N Tanaka
O Biquard
P Gauduchon
P Ivanov
S Ivanov
S Tanno
SJ Gates
SM Webster
SS Chern
T Friedrich
T Friedrich
V Alexiev
Publication date: 19 April 2013
Publisher: 'Walter de Gruyter GmbH'
Doi

Abstract

The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.Comment: 17 pages, exposition clarified, references adde

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