Isoclinic Spheres and Flat Homogeneous Pseudo - Riemannian Manifolds
نویسنده
چکیده
The structure theory ([3], [8]) for complete flat homogeneous pseudo-riemannian manifolds reduces the classification to the solution of some systems of quadratic equations. There is no general theory for that, but new solutions are found here by essentially the same construction as that used for isoclinic spheres in Grassmann manifolds [4]. It is interesting to speculate on a possible direct geometric relation between those constant positive curvature riemannian spheres and the "corresponding" flat homogeneous pseudoriemannian manifolds.
منابع مشابه
Flat Homogeneous Pseudo-Riemannian Manifolds
The complete homogeneous pseudo-Riemannian manifolds of constant non-zero curvature were classified up to isometry in 1961 [1]. In the same year, a structure theory [2] was developed for complete fiat homogeneous pseudo-Riemannian manifolds. Here that structure theory is sharpened to a classification. This completes the classification of complete homogeneous pseudo-Riemannian manifolds of arbit...
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