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Riemannian submersions of compact simple Lie groups with connected totally geodesic fibres

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Publication:1057521
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DOI10.1007/BF01164028zbMath0563.53042WikidataQ115393975 ScholiaQ115393975MaRDI QIDQ1057521

Akhil Ranjan

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173669


zbMATH Keywords

Riemannian submersiontotally geodesiccompact simple Lie group


Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40)


Related Items (6)

Semi-Riemannian submersions with totally geodesic fibres ⋮ AFFINE MAXIMAL TORUS FIBRATIONS OF A COMPACT LIE GROUP ⋮ Unnamed Item ⋮ Metric fibrations from simply connected rank-one projective spaces ⋮ The spectral geometry of the canonical Riemannian submersion of a compact Lie group ⋮ On totally geodesic foliations and doubly ruled surfaces in a compact Lie group



Cites Work

  • Riemannian submersions of spheres with totally geodesic fibres
  • Riemannian submersions with totally geodesic fibers
  • Riemannian submersions from complex projective space
  • The fundamental equations of a submersion
  • Unnamed Item


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