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Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds

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Publication:3821217
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DOI10.5802/afst.656zbMath0668.53010OpenAlexW2333985500MaRDI QIDQ3821217

Ryszard Deszcz, Leopold Verstraelen, Johan Deprez

Publication date: 1988

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1988_5_9_2_183_0


zbMATH Keywords

hypersurfacespseudo-symmetric Kaehlerian manifoldpseudo-symmetric Riemannian manifolds


Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) Local submanifolds (53B25)


Related Items

On Ricci-pseudosymmetric hypersurfaces in spaces of constant curvature ⋮ On the symmetries of a Kähler manifold ⋮ Pseudosymmetry curvature conditions imposed on the shape operators of hypersurfaces in the affine space



Cites Work

  • On manifolds satisfying some curvature conditions
  • Conditions on the projective curvature tensor of hypersurfaces in euclidian space
  • On totally umbilical submanifolds of conformally birecurrent manifolds
  • A theorem on Riemannian manifolds of positive curvature operator
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