Isometry groups of Riemannian fibrations

DOI10.1007/BF00572442zbMath0674.53045OpenAlexW1993245407MaRDI QIDQ1121537

Hans R. Fischer, Robert J. jun. Fisher

Publication date: 1989

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00572442

zbMATH Keywords

isometry groupsgauge grouptangent bundleKähler conditionconnectionisotropy groupprincipal G-bundleRiemannian fibrations

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global Riemannian geometry, including pinching (53C20) Connections (general theory) (53C05)

Cites Work

• Isometry groups of orthonormal frame bundles
• Laplacians and Riemannian submersions with totally geodesic fibres
• Riemannian submersions with totally geodesic fibers
• Totally geodesic maps
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• On the differential geometry of frame bundles of Riemannian manifolds.
• Complete Lifts of Tensor Fields and Connections to the Frame Bundle
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
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