We study calibrated complex structures on the generalized tangent bundle of a Riemannian manifold M and their relationship to the Riemannian geometry of M. In particular we introduce a concept of integrability of such structures and we prove that integrability conditions are strictly related to the existence of certain Codazzi tensors on M.

Calibrated complex structures on the generalized tangent bundle of a Riemannian manifold / A. NANNICINI. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - ELETTRONICO. - 56:(2006), pp. 903-916. [10.1016/j.geomphys.2005.05.006]

Calibrated complex structures on the generalized tangent bundle of a Riemannian manifold

NANNICINI, ANTONELLA
2006

Abstract

We study calibrated complex structures on the generalized tangent bundle of a Riemannian manifold M and their relationship to the Riemannian geometry of M. In particular we introduce a concept of integrability of such structures and we prove that integrability conditions are strictly related to the existence of certain Codazzi tensors on M.
2006
56
903
916
A. NANNICINI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/217848
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