Leibniz algebroids, generalized Bismut connections and Einstein-Hilbert actions

JOURNAL OF GEOMETRY AND PHYSICS

卷:97

Article

Jurco, Branislav^1,2  Vysoky, Jan^3,4 

[1] Charles Univ Prague, Fac Math & Phys, Math Inst, Prague 18675, Czech Republic

[2] Max Planck Inst Math, D-53111 Bonn, Germany

[3] Czech Tech Univ, Fac Nucl Sci & Phys Engn, CR-11519 Prague, Czech Republic

[4] Jacobs Univ Bremen, D-28759 Bremen, Germany

关键词: Generalized geometry;    Leibniz algebroid;    Bismut connection;    Torsion;    Curvature;   

DOI  :  10.1016/j.geomphys.2015.06.017

来源: Elsevier

【 摘 要 】

Connection, torsion and curvature are introduced for general (local) Leibniz algebroids. Generalized Bismut connection on TM circle plus Lambda T-p*M is an example leading to a scalar curvature of the form R + H-2 for a closed (p + 2)-form H. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free