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

J. Deprez; R. Deszcz; L. Verstraelen

Annales de la Faculté des sciences de Toulouse : Mathématiques (1988)

  • Volume: 9, Issue: 2, page 183-192
  • ISSN: 0240-2963

How to cite

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Deprez, J., Deszcz, R., and Verstraelen, L.. "Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.2 (1988): 183-192. <http://eudml.org/doc/73202>.

@article{Deprez1988,
author = {Deprez, J., Deszcz, R., Verstraelen, L.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {pseudo-symmetric Riemannian manifolds; pseudo-symmetric Kaehlerian manifold; hypersurfaces},
language = {eng},
number = {2},
pages = {183-192},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds},
url = {http://eudml.org/doc/73202},
volume = {9},
year = {1988},
}

TY - JOUR
AU - Deprez, J.
AU - Deszcz, R.
AU - Verstraelen, L.
TI - Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1988
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 2
SP - 183
EP - 192
LA - eng
KW - pseudo-symmetric Riemannian manifolds; pseudo-symmetric Kaehlerian manifold; hypersurfaces
UR - http://eudml.org/doc/73202
ER -

References

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  1. [AD] Adamow ( A.), Deszcz ( R.).—On totally umbilical submanifolds of some class Riemannian manifolds, Demonstratio Math., t. 16, 1983, p. 39-59. Zbl0534.53019MR723962
  2. [BVV] Blair ( D.E.), Verheyen ( P.), Verstraelen ( L.). - Hypersurfaces satisfaisant à R C = 0 ou C R = 0, C.R. Acad. Bulgare Sc., t. 37/11, 1984, p. 459-1462. Zbl0579.53007MR837747
  3. [DDV] Deprez ( J.), Deszcz ( R.), Verstraelen ( L.).- On some examples of conformally flat warped products, to appear. MR1007875
  4. [DDVV] Deprez ( J.), Dillen ( F.), Verheyen ( P.), Verstraelen ( L.). — Conditions on the projective curvature tensor of hypersurfaces in Euclidean space, Ann. Fac. Sci. Univ. Paul Sabatier Toulouse, t. VII, 1985, p. 229-249. Zbl0583.53001MR877168
  5. [DG] Deszcz ( R.), Grycak ( W.).— Notes on manifolds satisfying some curvature conditions, Colloquium Math., to appear. Zbl0698.53011MR1028605
  6. [DEP] Deszcz ( R.), Ewert-Krzemieniewski ( S.), Policht ( J.).- On totally umbilical submanifolds of conformally birecurrent manifolds, Colloquium Math., to appear. Zbl0667.53021MR964325
  7. [G] Grycak ( W.).- Riemannian manifolds with a symmetry condition imposed on the second derivative of the conformal curvature tensor, to appear. Zbl0694.53017
  8. [T] Tachibana ( S.).— A theorem on Riemannian manifolds of positive curvature operator, Proc. Japan Acad. Ser. Math. Sci, t. 40, 1974, p. 301-302. Zbl0299.53031MR365415

Citations in EuDML Documents

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  1. Filip Defever, Leopold Verstraelen, Ryszard Deszcz, On pseudosymmetric para-Kähler manifolds
  2. Ryszard Deszcz, On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions
  3. Ryszard Deszcz, Curvature properties of certain compact pseudosymmetric manifolds
  4. Ryszard Deszcz, Certain curvature characterizations of affine hypersurfaces
  5. Kadri Arslan, Ryszard Deszcz, Şahnur Yaprak, On Weyl pseudosymmetric hypersurfaces
  6. Ryszard Deszcz, Sahnur Yaprak, Curvature properties of Cartan hypersurfaces

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