# 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

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topJleli, 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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