论文标题

带有痕量度量的确定阳性真实矩阵的流形的椭圆异构体

Elliptic isometries of the manifold of definite positive real matrices with the trace metric

论文作者

Dolcetti, Alberto, Pertici, Donato

论文摘要

我们研究了带有痕量度量的确定阳性真实矩阵的椭圆形异构体的固定点的基因座的差分几何特性。我们还对这种基因座进行了明确的描述,特别是我们发现了它们的DE RHAM分解。

We study the differential-geometric properties of the loci of fixed points of the elliptic isometries of the manifold of definite positive real matrices with the trace metric. We also give an explicit description of such loci and in particular we find their De Rham decomposition.

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