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Description
  • The property of being a D'Atri space (i.e., a Riemannian manifold with volume-preserving symmetries) is equivalent, in the real analytic case, to the infinite numebr of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold (M, g) satisfying the first odd Ledger condition L3 is said to be an L3-space. This definition extends easily to the affine space. Here we investigate the torsion-free affine manifolds (M, /nabla) and their Riemann extensions (T*M, g/bar) as concerns heredity of of the condition L3. We also incorporate a short survey of the previous results in this direction, including also the topic of D'Atri spaces.
  • The property of being a D'Atri space (i.e., a Riemannian manifold with volume-preserving symmetries) is equivalent, in the real analytic case, to the infinite numebr of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold (M, g) satisfying the first odd Ledger condition L3 is said to be an L3-space. This definition extends easily to the affine space. Here we investigate the torsion-free affine manifolds (M, /nabla) and their Riemann extensions (T*M, g/bar) as concerns heredity of of the condition L3. We also incorporate a short survey of the previous results in this direction, including also the topic of D'Atri spaces. (en)
Title
  • The Riemann extensions with cyclic parallel Ricci tensor
  • The Riemann extensions with cyclic parallel Ricci tensor (en)
skos:prefLabel
  • The Riemann extensions with cyclic parallel Ricci tensor
  • The Riemann extensions with cyclic parallel Ricci tensor (en)
skos:notation
  • RIV/00216208:11320/14:10286228!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, P(GAP201/11/0356)
http://linked.open...iv/cisloPeriodika
  • 8-9
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 42758
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10286228
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • parallel Ricci tensor; D'Atri space; Riemann extension; Affine connection (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [2B7304960718]
http://linked.open...i/riv/nazevZdroje
  • Mathematische Nachrichten
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 287
http://linked.open...iv/tvurceVysledku
  • Kowalski, Oldřich
  • Sekizawa, Masami
issn
  • 0025-584X
number of pages
http://bibframe.org/vocab/doi
  • 10.1002/mana.201200299
http://localhost/t...ganizacniJednotka
  • 11320
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