对称空间的同伦与共形形变
Homotopes and Conformal Deformations of Symmetric Spaces
摘要：
同伦是结合代数和若当代数结构的一个重要特征：这样的结构总是出现在家族中，其成员之间不需要同构，但仍然共享许多重要性质。人们可以把同伦看作是给定代数结构的一种特殊变形。在这项工作中，我们调查的全球对应的这种现象的几何水平上的相关的对称空间-在这个水平上，同伦引起的对称空间的共形变形。这些结果在任意维数和一般基域及-环上都是有效的.
英文摘要：
Homotopy is an important feature of associative and Jordan algebraic structures: such structures always come in families whose members need not be isomorphic among 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 global counterpart of this phenomenon on the geometric 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.
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