Reflections with respect to submanifolds in contact geometry

P. Bueken; Lieven Vanhecke

Archivum Mathematicum (1993)

  • Volume: 029, Issue: 1-2, page 43-57
  • ISSN: 0044-8753

Abstract

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We study to what extent some structure-preserving properties of the geodesic reflection with respect to a submanifold of an almost contact manifold influence the geometry of the submanifold and of the ambient space.

How to cite

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Bueken, P., and Vanhecke, Lieven. "Reflections with respect to submanifolds in contact geometry." Archivum Mathematicum 029.1-2 (1993): 43-57. <http://eudml.org/doc/247438>.

@article{Bueken1993,
abstract = {We study to what extent some structure-preserving properties of the geodesic reflection with respect to a submanifold of an almost contact manifold influence the geometry of the submanifold and of the ambient space.},
author = {Bueken, P., Vanhecke, Lieven},
journal = {Archivum Mathematicum},
keywords = {almost contact metric manifolds; submanifolds; reflections; reflections; almost contact metric manifold; Sasaki form; symplectic reflections; Sasakian space form},
language = {eng},
number = {1-2},
pages = {43-57},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Reflections with respect to submanifolds in contact geometry},
url = {http://eudml.org/doc/247438},
volume = {029},
year = {1993},
}

TY - JOUR
AU - Bueken, P.
AU - Vanhecke, Lieven
TI - Reflections with respect to submanifolds in contact geometry
JO - Archivum Mathematicum
PY - 1993
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 029
IS - 1-2
SP - 43
EP - 57
AB - We study to what extent some structure-preserving properties of the geodesic reflection with respect to a submanifold of an almost contact manifold influence the geometry of the submanifold and of the ambient space.
LA - eng
KW - almost contact metric manifolds; submanifolds; reflections; reflections; almost contact metric manifold; Sasaki form; symplectic reflections; Sasakian space form
UR - http://eudml.org/doc/247438
ER -

References

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  10. Almost complex submanifolds of a six-dimensional sphere, Kodai Math. J. 6 (1983), 174-185. (1983) MR0702939
  11. Some transformations on manifolds with almost contact and contact metric structures I,II, Tôhoku Math. J. 15 (1963), 140-147 and 322–331. (1963) MR0150716
  12. Reflections in submanifolds, Geometriae Dedicata 28 (1988), 77-85. (1988) MR0965832
  13. Isometric reflections with respect to submanifolds, Simon Stevin 63 (1989), 107-116. (1989) MR1025491
  14. Geometry in normal and tubular neighborhoods, Proc. Workshop on Differential Geometry and Topology, Cala Gonone (Sardinia), Rend. Sem. Fac. Sci. Univ. Cagliari Supplemento al Vol. 58 (1988), 73-176. (1988) MR1122858
  15. Structures on manifolds, Series in Pure Mathematics 3 (1984), World Scientific Publ. Co., Singapore. (1984) MR0794310
  16. CR submanifolds of Kaehlerian and Sasakian manifolds, Progress in Mathematics 30 (1983), Birkhäuser, Boston, Basel, Stuttgart. (1983) MR0688816

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