Construction of compact constant mean curvature hypersurfaces with topology

Mohamed Jleli[1]

  • [1] Department of Mathematics College of Science King Saud University PO. Box 2455 Riyadh 11451 (Saudi Arabia)

Annales de l’institut Fourier (2012)

  • Volume: 62, Issue: 1, page 245-276
  • ISSN: 0373-0956

Abstract

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In this paper, we explain how the end-to-end construction together with the moduli space theory can be used to produce compact constant mean curvature hypersurfaces with nontrivial topology. For the sake of simplicity, the hypersurfaces we construct have a large group of symmetry but the method can certainly be used to provide many more examples with less symmetries.

How to cite

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Jleli, Mohamed. "Construction of compact constant mean curvature hypersurfaces with topology." Annales de l’institut Fourier 62.1 (2012): 245-276. <http://eudml.org/doc/251072>.

@article{Jleli2012,
abstract = {In this paper, we explain how the end-to-end construction together with the moduli space theory can be used to produce compact constant mean curvature hypersurfaces with nontrivial topology. For the sake of simplicity, the hypersurfaces we construct have a large group of symmetry but the method can certainly be used to provide many more examples with less symmetries.},
affiliation = {Department of Mathematics College of Science King Saud University PO. Box 2455 Riyadh 11451 (Saudi Arabia)},
author = {Jleli, Mohamed},
journal = {Annales de l’institut Fourier},
keywords = {Mean curvature; Compact hypersurface; mean curvature; compact hypersurface; end-to-end construction; moduli space theory; Jacobi operator},
language = {eng},
number = {1},
pages = {245-276},
publisher = {Association des Annales de l’institut Fourier},
title = {Construction of compact constant mean curvature hypersurfaces with topology},
url = {http://eudml.org/doc/251072},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Jleli, Mohamed
TI - Construction of compact constant mean curvature hypersurfaces with topology
JO - Annales de l’institut Fourier
PY - 2012
PB - Association des Annales de l’institut Fourier
VL - 62
IS - 1
SP - 245
EP - 276
AB - In this paper, we explain how the end-to-end construction together with the moduli space theory can be used to produce compact constant mean curvature hypersurfaces with nontrivial topology. For the sake of simplicity, the hypersurfaces we construct have a large group of symmetry but the method can certainly be used to provide many more examples with less symmetries.
LA - eng
KW - Mean curvature; Compact hypersurface; mean curvature; compact hypersurface; end-to-end construction; moduli space theory; Jacobi operator
UR - http://eudml.org/doc/251072
ER -

References

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