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On the geometry of orthonormal frame bundles

✍ Scribed by Oldřich Kowalski; Masami Sekizawa

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 147 KB
Volume: 281
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610715

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✦ Synopsis

Abstract

In this paper we are studying the geometry of orthonormal frame bundles over Riemannian manifolds, which are equipped, as submanifolds of the full frame bundles, by the induced Sasaki–Mok metric. All kinds of curvatures are calculated and many geometric results are proved. It seems that the geometry of the orthogonal frame bundles is much more interesting (and more “flexible”) than that of the general frame bundles studied earlier by L. A. Cordero and M. de León. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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