Translator Disclaimer
Fall 2014 Riemannian almost CR manifolds with torsion
Giulia Dileo, Antonio Lotta
Illinois J. Math. 58(3): 807-846 (Fall 2014). DOI: 10.1215/ijm/1441790391

Abstract

We characterize and study Riemannian almost CR manifolds admitting characteristic connections, that is, metric connections with totally skew-symmetric torsion parallelizing the almost CR structure. Natural constructions are provided of new nontrivial examples. We study the influence of the curvature of the metric on the underlying almost CR structure. A global classification is obtained under flatness assumption of a characteristic connection, provided that the fundamental $2$-form of the structure is closed (quasi Sasakian condition).

Citation

Download Citation

Giulia Dileo. Antonio Lotta. "Riemannian almost CR manifolds with torsion." Illinois J. Math. 58 (3) 807 - 846, Fall 2014. https://doi.org/10.1215/ijm/1441790391

Information

Received: 15 July 2014; Revised: 19 February 2015; Published: Fall 2014
First available in Project Euclid: 9 September 2015

zbMATH: 1328.53036
MathSciNet: MR3395964
Digital Object Identifier: 10.1215/ijm/1441790391

Subjects:
Primary: 53C15, 53C25
Secondary: 53B05

Rights: Copyright © 2014 University of Illinois at Urbana-Champaign

JOURNAL ARTICLE
40 PAGES


SHARE
Vol.58 • No. 3 • Fall 2014
Back to Top