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Description
  • Sekigawa proved in 1977 that a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the sense of I.M. Singer is always locally homogeneous. We deal here with the modification of the curvature homogeneity which is said to be %22of type (1, 3)%22. We give example of a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the modified sense but still not locally homogeneous.
  • Sekigawa proved in 1977 that a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the sense of I.M. Singer is always locally homogeneous. We deal here with the modification of the curvature homogeneity which is said to be %22of type (1, 3)%22. We give example of a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the modified sense but still not locally homogeneous. (en)
Title
  • On a Generalization of Curvature Homogeneous Spaces
  • On a Generalization of Curvature Homogeneous Spaces (en)
skos:prefLabel
  • On a Generalization of Curvature Homogeneous Spaces
  • On a Generalization of Curvature Homogeneous Spaces (en)
skos:notation
  • RIV/00216208:11320/13:10173718!RIV14-GA0-11320___
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  • P(GAP201/11/0356), Z(MSM0021620839), Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 1-2
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  • 93637
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  • RIV/00216208:11320/13:10173718
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  • locally homogeneous space; curvature homogeneous manifold; Riemannian manifold (en)
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  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [A5354B5C2E80]
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  • Results in Mathematics
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  • 63
http://linked.open...iv/tvurceVysledku
  • Kowalski, Oldřich
  • Vanžurová, A.
http://linked.open...ain/vavai/riv/wos
  • 000313870000010
http://linked.open...n/vavai/riv/zamer
issn
  • 1422-6383
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00025-011-0177-y
http://localhost/t...ganizacniJednotka
  • 11320
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