Geodesic
Homotopes and Conformal Deformations of Symmetric Spaces
Journal of Lie theory, Tome 18 (2008) no. 2, pp. 301-333 Cet article a éte moissonné depuis la source Heldermann Verlag

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Homotopy is an important feature of associative and Jordan algebraic structures: such structures always come in families whose members need not be isomorphic among each other, but still share many important properties. One may regard homotopy as a special kind of deformation of a given algebraic structure. In this work, we investigate the geometric counterpart of this phenomenon on the level of the associated symmetric spaces. On this level, homotopy gives rise to conformal deformations of symmetric spaces. These results are valid in arbitrary dimension and over general base fields and -rings.
Classification : 17C37, 32G99, 17C27, 14D99
Mots-clés : Homotope, isotope, Jordan algebras, Jordan triple systems, Jordan pairs, Lie triple system, symmetric space, generalized projective geometries, polar geometries 
@article{JLT_2008_18_2_JLT_2008_18_2_a3,
     author = {W. Bertram },
     title = {Homotopes and {Conformal} {Deformations} of {Symmetric} {Spaces}},
     journal = {Journal of Lie theory},
     pages = {301--333},
     year = {2008},
     volume = {18},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_2_JLT_2008_18_2_a3/}
}
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W. Bertram . Homotopes and Conformal Deformations of Symmetric Spaces. Journal of Lie theory, Tome 18 (2008) no. 2, pp. 301-333. http://geodesic.mathdoc.fr/item/JLT_2008_18_2_JLT_2008_18_2_a3/