Infinitesimal isometries of frame bundles with natural Riemannian metric
type: Item
instance of: scholarly article
title: Infinitesimal isometries of frame bundles with natural Riemannian metric
zbMATH Open document ID: 0739.53017
author: Hitoshi Takagi
author: Makoto Yawata
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1992-06-26T00:00:00Z
review text: A canonical decomposition of Killing fields on \(SO(M)\) and a certain sufficient condition of an existence of such fields are given. (The preliminary definitions seem to be irrelevant).
Mathematics Subject Classification ID: 53C05
zbMATH DE Number: 20401
zbMATH Keywords: Killing vector
zbMATH Keywords: horizontal space
zbMATH Keywords: bi-invariant metric
zbMATH Keywords: curvature
reviewed by: Andrzej Szybiak
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178227538
OpenAlex ID: W4242307700
Wikidata QID: Q115227241
cites work: Q3846750
cites work: Q3040034
cites work: On the automorphisms of a real semi-simple Lie algebra
cites work: The fundamental equations of a submersion
cites work: Killing vectors and geodesic flow vectors on tangent bundles.
DOI: 10.2748/TMJ/1178227538
description: scientific article; zbMATH DE number 20401