B.-Y. Chen's inequalities for submanifolds of Sasakian space forms

Filip Defever; Ion Mihai; Leopold Verstraelen

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 2, page 521-529
  • ISSN: 0392-4041

How to cite

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Defever, Filip, Mihai, Ion, and Verstraelen, Leopold. "B.-Y. Chen's inequalities for submanifolds of Sasakian space forms." Bollettino dell'Unione Matematica Italiana 4-B.2 (2001): 521-529. <http://eudml.org/doc/195493>.

@article{Defever2001,
author = {Defever, Filip, Mihai, Ion, Verstraelen, Leopold},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {521-529},
publisher = {Unione Matematica Italiana},
title = {B.-Y. Chen's inequalities for submanifolds of Sasakian space forms},
url = {http://eudml.org/doc/195493},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Defever, Filip
AU - Mihai, Ion
AU - Verstraelen, Leopold
TI - B.-Y. Chen's inequalities for submanifolds of Sasakian space forms
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/6//
PB - Unione Matematica Italiana
VL - 4-B
IS - 2
SP - 521
EP - 529
LA - eng
UR - http://eudml.org/doc/195493
ER -

References

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  1. BLAIR, D. E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Math., vol. 509, Springer, Berlin, 1976. Zbl0319.53026MR467588
  2. CHEN, B.-Y., Some pinching and classification theorems for minimal submanifolds, Archiv Math., 60 (1993), 568-578. Zbl0811.53060MR1216703
  3. CHEN, B.-Y., A Riemannian invariant for submanifolds in space forms and its applications, Geometry and Topology of Submanifolds, 6 (1994), 58-81, World Scientific, Singapore. Zbl0865.53050MR1315088
  4. CHEN, B.-Y., Some new obstructions to minimal and Lagrangian isometric immersions, submitted. Zbl1026.53009
  5. CHEN, B.-Y.- DILLEN, F.- VERSTRAELEN, L.- VRANCKEN, L., Totally real submanifolds of C ⁢ P n satisfying a basic equality, Archiv. Math., 63 (1994), 553-564. Zbl0816.53034MR1300757
  6. CHEN, B.-Y., F. DILLEN, L. VERSTRAELEN AND VRANCKEN, L., An exotic totally real minimal immersion of S 3 in C ⁢ P 3 and its characterization, Proc. Roy. Soc. Edinburgh Sect. A, 126 (1996), 153-165. Zbl0855.53011MR1378838
  7. DEFEVER, F.- MIHAI, I.- VERSTRAELEN, L., B.-Y. Chen's inequality for C -totally real submanifolds of Sasakian space forms, Boll. Un. Mat. Ital., 11-B (1997), 365-374. Zbl0884.53042MR1459285
  8. YANO, K.- KON, M., Anti-invariant Submanifolds, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York, 1976. Zbl0349.53055MR425849
  9. YANO, K.- KON, M., CR-Submanifolds of Kaehlerian and Sasakian Manifolds, Birkhäuser, Boston, 1983. Zbl0496.53037MR688816
  10. YANO, K.- KON, M., Structures on Manifolds, Series in Pure Mathematics, vol. 3, World Scientific, Singapore, 1984. Zbl0557.53001MR794310

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