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Sobre el problema de la clasificación de curvas en una geometría de Klein

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Publication Date
2000-09
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Editorial Complutense S.A.
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Abstract
Se plantea el problema de clasificación de curvas en una geometría diferenciable de Klein, y se muestran estrategias generales para su solución. Finalmente, se resuelve el problema para el plano de Möbius.
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UCM subjects
Geometria algebraica
Unesco subjects
1201.01 Geometría Algebraica
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Citation
Elie Cartan. La Théorie des Groupes Finis et Continus et la Géometrié Différentiell traitée par la Métode du Repére Mobile. Gauthiers-Villars, 1937. Elie Cartan. Le ons sur la Théorie des Espaces á Connection Projective. Gauthiers-Villars, 1937. O. Faugeras. Cartan’s moving frame methods and its applications to the geometry and evolution of curves in the Euclidean, affine and Projective planes. INRIA TR-2053, 1993. Heinrich Guggenheimer. Differential Geometry. Dover Publications, 1977. E.Hille.Lectures in ordinary differential equations. Addison-Wesley, 1969. S. Kobayashi and K.Nomizu. ˜Foundations of Differential Geometry. (Vol 1). Interscience Publishers, 1963. R. W.Sharpe. Differential Geometry. Cartan’s Generalitation of Klein’s Erlangen Program. Springer, 1996. E. J. Wilczinsky. Projective differential geometry of curves and ruled surfaces. Leipzig, Teubner, 1906.
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https://hdl.handle.net/20.500.14352/60625
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