Homogeneous Einstein metrics on Stiefel manifolds
Arvanitoyeorgos, Andreas
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 627-634 / Harvested from Czech Digital Mathematics Library
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A Stiefel manifold $V_k\bold R^n$ is the set of orthonormal $k$-frames in $\bold R^n$, and it is diffeomorphic to the homogeneous space $SO(n)/SO(n-k)$. We study $SO(n)$-invariant Einstein metrics on this space. We determine when the standard metric on $SO(n)/SO(n-k)$ is Einstein, and we give an explicit solution to the Einstein equation for the space $V_2\bold R^n$.

Publié le : 1996-01-01
Classification:  53C20,  53C25,  53C30 
@article{118869,
     author = {Andreas Arvanitoyeorgos},
     title = {Homogeneous Einstein metrics on Stiefel manifolds},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {627-634},
     zbl = {0881.53042},
     mrnumber = {1426927},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118869}
}

Arvanitoyeorgos, Andreas. Homogeneous Einstein metrics on Stiefel manifolds. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 627-634. http://gdmltest.u-ga.fr/item/118869/

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