On a connection on a hypercontact manifold

Hyunsuk Kim

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J. Korean Math. Soc. 2002; 39(3): 411-424

Printed May 1, 2002

On a connection on a hypercontact manifold

Hyunsuk Kim

Kanazawa University

Abstract

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Abstract

We construct the canonical connection associated with a hypercontact structure. Moreover, we discuss the canonical connection associated with a sub-Riemannian 3-structure. As an application, we study the sub-symmetry property in terms of the canonical connection.

Keywords: connections, contact structure, hypercontact structure, sub-Riemannian manifold

MSC numbers: 53C15, 53B05