Newton transformations on null hypersurfaces

Cyriaque Atindogbé and Hans Tetsing Fotsing

Communications in Mathematics (2015)

  • Volume: 23, Issue: 1, page 57-83
  • ISSN: 1804-1388

Abstract

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Any rigged null hypersurface is provided with two shape operators: with respect to the rigging and the rigged vector fields respectively. The present paper deals with the Newton transformations built on both of them and establishes related curvature properties. The laters are used to derive necessary and sufficient conditions for higher-order umbilicity and maximality we introduced in passing, and develop general Minkowski-type formulas for the null hypersurface, supported by some physical models in perfect-fluid space-times.

How to cite

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Fotsing, Cyriaque Atindogbé and Hans Tetsing. "Newton transformations on null hypersurfaces." Communications in Mathematics 23.1 (2015): 57-83. <http://eudml.org/doc/271589>.

@article{Fotsing2015,
abstract = {Any rigged null hypersurface is provided with two shape operators: with respect to the rigging and the rigged vector fields respectively. The present paper deals with the Newton transformations built on both of them and establishes related curvature properties. The laters are used to derive necessary and sufficient conditions for higher-order umbilicity and maximality we introduced in passing, and develop general Minkowski-type formulas for the null hypersurface, supported by some physical models in perfect-fluid space-times.},
author = {Fotsing, Cyriaque Atindogbé and Hans Tetsing},
journal = {Communications in Mathematics},
keywords = {Null hypersurfaces; null rigging; Newton transformations; Minkowski integral formulas},
language = {eng},
number = {1},
pages = {57-83},
publisher = {University of Ostrava},
title = {Newton transformations on null hypersurfaces},
url = {http://eudml.org/doc/271589},
volume = {23},
year = {2015},
}

TY - JOUR
AU - Fotsing, Cyriaque Atindogbé and Hans Tetsing
TI - Newton transformations on null hypersurfaces
JO - Communications in Mathematics
PY - 2015
PB - University of Ostrava
VL - 23
IS - 1
SP - 57
EP - 83
AB - Any rigged null hypersurface is provided with two shape operators: with respect to the rigging and the rigged vector fields respectively. The present paper deals with the Newton transformations built on both of them and establishes related curvature properties. The laters are used to derive necessary and sufficient conditions for higher-order umbilicity and maximality we introduced in passing, and develop general Minkowski-type formulas for the null hypersurface, supported by some physical models in perfect-fluid space-times.
LA - eng
KW - Null hypersurfaces; null rigging; Newton transformations; Minkowski integral formulas
UR - http://eudml.org/doc/271589
ER -

References

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