Generalized Hopf manifolds with flat local Kaelher metrics

Sorin Dragomir; Renata Grimaldi

Annales de la Faculté des sciences de Toulouse : Mathématiques (1989)

  • Volume: 10, Issue: 3, page 361-368
  • ISSN: 0240-2963

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Dragomir, Sorin, and Grimaldi, Renata. "Generalized Hopf manifolds with flat local Kaelher metrics." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.3 (1989): 361-368. <http://eudml.org/doc/73237>.

@article{Dragomir1989,
author = {Dragomir, Sorin, Grimaldi, Renata},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {sectional curvatures; submanifold; Hopf manifold; Kähler metrics},
language = {eng},
number = {3},
pages = {361-368},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Generalized Hopf manifolds with flat local Kaelher metrics},
url = {http://eudml.org/doc/73237},
volume = {10},
year = {1989},
}

TY - JOUR
AU - Dragomir, Sorin
AU - Grimaldi, Renata
TI - Generalized Hopf manifolds with flat local Kaelher metrics
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1989
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 3
SP - 361
EP - 368
LA - eng
KW - sectional curvatures; submanifold; Hopf manifold; Kähler metrics
UR - http://eudml.org/doc/73237
ER -

References

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  2. [2] Chen ( B.Y.). - Cohomology of C.R. submanifolds, Ann. Fac. Sc. Toulouse, Math31981, p. 167-172. Zbl0478.53046MR646313
  3. [3] Chen ( B.Y.), Okumura ( M.).—Scalar curvature, inequality and submanifold, Proc. A.M.S., 381973, p. 605-607. Zbl0256.53041MR343217
  4. [4] Chen ( B.Y.), Piccinni ( P.).—The canonical foliations of a locally conformal Kaehler manifold, Ann. di Matem. pura appl., 1411985, p. 283-305. Zbl0587.53059MR816789
  5. [5] Dragomir ( S.).—On submanifolds of Hopf manifolds IsraelJ. Math., (2) 611988, p. 199-210. Zbl0649.53031MR941236
  6. [6] Dragomir ( S.).— Cauchy-Riemann submanifolds of locally conformal Kaehler manifolds, I-II, Geometriae Dedicata281988, p. 181-197, Atti Sem. Mat. Fis. Univ. Modena, 371989, p. 1-11. Zbl0674.53057MR994051
  7. [7] Ianus ( S.), Matsumoto ( K.), Ornea ( L.).—Complex hypersurfaces of a generalized Hopf manifold, Publication de l'Inst. Mathém., N.S., 421987, p. 123-129. Zbl0637.53026MR937459
  8. [8] Matsumoto ( K.). - On submanifolds of locally conformal Kaehler manifolds, Bull. Yamagoto Univ., N.S., 111984, p. 33-38. Zbl0603.53029MR748201
  9. [9] Tricerri ( F.).—Some examples of locally conformal Kaehler manifolds, Rend. Sem. Mat. Politecn. Torino401982, p. 81-92. Zbl0511.53068MR706055
  10. [10] Tsukada ( K.).—Hopf manifolds and spectral geometry, Trans. A.M.S., (2)2701982, p. 609-621. Zbl0515.58034MR645333
  11. [11] Vaisman ( I.). - A theorem on compact locally conformal Kaehler manifolds, Proc. A.M.S., (2)751979, p. 279-283. Zbl0414.53045MR532151
  12. [12] Vaisman ( I.). — Locally conformal Kaehler manifolds with parallel Lee form, Rendiconti di Matem.12 , Roma1979, p. 263-284. Zbl0447.53032MR557668
  13. [13] Vaisman ( I.). - Some curvature properties of locally conformal Kaehler manifoldsTrans A.M.S., (2)2591980, p. 439-447. Zbl0435.53044MR567089
  14. [14] Vaisman ( I.), Goldberg ( S.). — On compact locally conformal Kaehler manifolds with non-negative sectional curvature, Ann. Fac. Sci. Toulouse, Math.21980, p. 117-123. Zbl0447.53054MR595194
  15. [15] Yano ( K.), Kon ( M.). — C.R. submanifolds of Kaehlerian and Sasakian manifolds, Progress in Math., vol. 30, Birkhauser, Boston-Basel-Stuttgart, 1983. Zbl0496.53037MR688816

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