Parallel hypersurfaces
Annales Polonici Mathematici (2014)
- Volume: 111, Issue: 2, page 107-135
- ISSN: 0066-2216
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topBarbara Opozda, and Udo Simon. "Parallel hypersurfaces." Annales Polonici Mathematici 111.2 (2014): 107-135. <http://eudml.org/doc/280810>.
@article{BarbaraOpozda2014,
abstract = {We investigate parallel hypersurfaces in the context of relative hypersurface geometry, in particular including the cases of Euclidean and Blaschke hypersurfaces. We describe the geometric relations between parallel hypersurfaces in terms of deformation operators, and we apply the results to the parallel deformation of special classes of hypersurfaces, e.g. quadrics and Weingarten hypersurfaces.},
author = {Barbara Opozda, Udo Simon},
journal = {Annales Polonici Mathematici},
keywords = {parallel submanifold; relative hypersurface; Weingarten hypersurface; quadric; parallel shape operator},
language = {eng},
number = {2},
pages = {107-135},
title = {Parallel hypersurfaces},
url = {http://eudml.org/doc/280810},
volume = {111},
year = {2014},
}
TY - JOUR
AU - Barbara Opozda
AU - Udo Simon
TI - Parallel hypersurfaces
JO - Annales Polonici Mathematici
PY - 2014
VL - 111
IS - 2
SP - 107
EP - 135
AB - We investigate parallel hypersurfaces in the context of relative hypersurface geometry, in particular including the cases of Euclidean and Blaschke hypersurfaces. We describe the geometric relations between parallel hypersurfaces in terms of deformation operators, and we apply the results to the parallel deformation of special classes of hypersurfaces, e.g. quadrics and Weingarten hypersurfaces.
LA - eng
KW - parallel submanifold; relative hypersurface; Weingarten hypersurface; quadric; parallel shape operator
UR - http://eudml.org/doc/280810
ER -
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