1Universidad de Antioquia, Medellín, Colombia. Email: camara@matematicas.udea.edu.co
]]> Abstract
We give an algebraic characterization of the possible characteristic tensors of an infinitesimally homogeneous affine manifold with G-structure. Such concepts were introduced in [6].
Key words: Infinitesimally homogeneous manifold, Inner torsion, G-structures.
Presentamos una caracterización algebraica de los posibles tensores característicos de una variedad infinitesimalmente homogénea con G-estructura. Tales conceptos son introducidos en [6].
Palabras clave: Variedad infinitesimalmente homogénea, torsión interna, G-estructuras.
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References
[1] M. Dajczer, Submanifolds and Isometric Immersions, Publish or Perish, Houston, United States, 1990. [ Links ]
[2] B. Daniel, `Isometric Immersions into 3-Dimensional Homogeneous Manifolds´, Comment. Math. Helv. 82, 1 (2007), 87-131. [ Links ]
[3] B. Daniel, `Isometric Immersions into Sn\timesR and Hn\timesR and Applications to Minimal Surfaces´, Trans. Am. Math. Soc. 361, 12 (2009), 6255-6282. [ Links ]
[4] S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic press, New York, United States, 1978. [ Links ]
[5] P. Piccione and D. Tausk, The Theory of Connections and G-Structures: Applications to Affine and Isometric Immersions, IMPA, Rio de Janeiro, Brazil, 2006. [ Links ]
[6] P. Piccione and D. Tausk, `An Existence Theorem for G-Structure Preserving Affine Immersions´, Indiana Univ. Math. J 57, 3 (2008), 1431-1465. [ Links ]
Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv44n2a07,
AUTHOR = {Marín, Carlos Alberto},
TITLE = {{An Algebraic Characterization of Affine Manifolds with \boldsymbol{G}-Structure Satisfying a Homogeneity Condition}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2010},
volume = {44},
number = {2},
pages = {149-165} ]]>
}