Parallel connections over symmetric spaces
نویسندگان
چکیده
منابع مشابه
Parallel Connections over Symmetric Spaces
Let M be a simply connected Riemannian symmetric space, with at most one flat direction. We show that every Riemannian (or unitary) vector bundle with parallel curvature over M is an associated vector bundle of a canonical principal bundle, with the connection inherited from the principal bundle. The problem of finding Riemannian (or unitary) vector bundles with parallel curvature then reduces ...
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2001
ISSN: 1050-6926,1559-002X
DOI: 10.1007/bf02921966