Higher order contact of real curves in a real hyperquadric

Yuli Villarroel

Archivum Mathematicum (1996)

  • Volume: 032, Issue: 1, page 57-73
  • ISSN: 0044-8753

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Villarroel, Yuli. "Higher order contact of real curves in a real hyperquadric." Archivum Mathematicum 032.1 (1996): 57-73. <http://eudml.org/doc/247850>.

@article{Villarroel1996,
abstract = {},
author = {Villarroel, Yuli},
journal = {Archivum Mathematicum},
keywords = {geometric structures on manifolds; local submanifolds; contact theory; actions of groups; geometric structures on manifolds; local submanifolds; contact theory; actions of groups},
language = {eng},
number = {1},
pages = {57-73},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Higher order contact of real curves in a real hyperquadric},
url = {http://eudml.org/doc/247850},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Villarroel, Yuli
TI - Higher order contact of real curves in a real hyperquadric
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 1
SP - 57
EP - 73
AB -
LA - eng
KW - geometric structures on manifolds; local submanifolds; contact theory; actions of groups; geometric structures on manifolds; local submanifolds; contact theory; actions of groups
UR - http://eudml.org/doc/247850
ER -

References

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  3. Cartan E., Théorie des groupes finis el la géométrie différentielle traitées par la Methode du repère mobile, Gauthier-Villars, Paris, (1937). (1937) 
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  5. Chern S. S., Cowen J. M., Frenet frames along holomorphic curves, Topics in Differential Geometry, 1972-1973, pp. 191-203. Dekker, New York, 1974. (1972) MR0361170
  6. Ehresmann C., Les prolongements d’un space fibré diferéntiable, C.R. Acad. Sci. Paris, 240 (1955), 1755-1757. (1955) MR0071083
  7. Green M. L., The moving frame, Differential invariants and rigity theorems for curves in homogeneous spaces, Duke Math. Journal, Vol 45, No.4(1978), 735-779. (1978) MR0518104
  8. Griffiths P., On Cartan’s method of Lie groups and moving frames as applied to existence and uniqueness questions in differential geometry, Duke Math. J. 41(1974), 775-814. (1974) MR0410607
  9. Hermann R., Equivalence invariants for submanifolds of Homogeneous Spaces, Math. Annalen 158, 284-289 (1965). (1965) Zbl0125.39502MR0203653
  10. Hermann R., Existence in the large of parallelism homomorphisms, Trans. Am. Math. Soc. 108, 170-183 (1963). (1963) MR0151924
  11. Jensen G. R., Higher Order Contact of Submanifolds of Homogeneous Spaces, Lectures notes in Math. Vol. 610, Springer-Verlag, New York (1977). (1977) Zbl0356.53005MR0500648
  12. Jensen G.R., Deformation of submanifolds of homogeneous spaces, J. of Diff. Geometry, 16(1981), 213-246. (1981) Zbl0473.53044MR0638789
  13. Kolář I., Canonical forms on the prolongations of principle fibre bundles, Rev. Roum. Math. Pures et Appl., Bucarest, Tome XVI, No.7, (1971), 1091-1106. (1971) MR0301668
  14. Rodrigues A. M., Contact and equivalence of submanifolds of homogeneous spaces, Aspects of Math. and its Applications. Elsevier Science Publishers B.V. (1986). (1986) Zbl0601.53017MR2342861
  15. Villarroel Y., Equivalencia de curvas, Acta Científica Venezolana. Vol. 37, No. 6, p. 625-631, (1987). (1987) MR0897828
  16. Villarroel Y., Teoria de contacto y Referencial móvil, Public. Universidad Central de Venezuela. Dpto. de Matemática. 1991. (1991) 

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