Ideal tubular hypersurfaces in real space forms

Johan Fastenakels

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 3, page 295-305
  • ISSN: 0044-8753

Abstract

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In this article we give a classification of tubular hypersurfaces in real space forms which are δ ( 2 , 2 , ... , 2 ) -ideal.

How to cite

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Fastenakels, Johan. "Ideal tubular hypersurfaces in real space forms." Archivum Mathematicum 042.3 (2006): 295-305. <http://eudml.org/doc/249782>.

@article{Fastenakels2006,
abstract = {In this article we give a classification of tubular hypersurfaces in real space forms which are $\delta (2,2,\ldots ,2)$-ideal.},
author = {Fastenakels, Johan},
journal = {Archivum Mathematicum},
keywords = {tubular hypersurfaces; ideal immersion; real space form; tubular hypersurfaces; ideal immersion; real space form},
language = {eng},
number = {3},
pages = {295-305},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Ideal tubular hypersurfaces in real space forms},
url = {http://eudml.org/doc/249782},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Fastenakels, Johan
TI - Ideal tubular hypersurfaces in real space forms
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 3
SP - 295
EP - 305
AB - In this article we give a classification of tubular hypersurfaces in real space forms which are $\delta (2,2,\ldots ,2)$-ideal.
LA - eng
KW - tubular hypersurfaces; ideal immersion; real space form; tubular hypersurfaces; ideal immersion; real space form
UR - http://eudml.org/doc/249782
ER -

References

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  1. B. Y. Chen, Some pinching and classification theorems for minimal submanifolds, Arch. Math. 60 (1993), 568-578. (1993) Zbl0811.53060MR1216703
  2. B. Y. Chen, Tubular hypersurfaces satisfying a basic equality., Soochow Journal of Mathematics 20 No. 4 (1994), 569-586. (1994) Zbl0827.53045MR1309490
  3. B. Y. Chen, Some new obstructions to minimal and Lagrangian isometric immersions, Japan J. Math. 26 (2000), 105-127. Zbl1026.53009MR1771434
  4. B. Y. Chen, Strings of Riemannian invariants, inequalities, ideal immersions and their applications, in Third Pacific Rim Geom. Conf., (Intern. Press, Cambridge, MA), (1998), 7-60. (1998) Zbl1009.53041MR1751063
  5. R. Harvey, H. B. Lawson, Jr., Calibrated geometries, Acta Math. 148 (1982), 47-157. (1982) Zbl0584.53021MR0666108

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