Stiefel manifold

In mathematics, the Stiefel manifold V_k(R) is the set of all orthonormal k-frames in R. That is, it is the set of ordered k-tuples of orthonormal vectors in R. It is named after Swiss mathematician Eduard Stiefel. Likewise one can define the complex Stiefel manifold V_k(C) of orthonormal k-frames in C and the quaternionic Stiefel manifold V_k(H) of orthonormal k-frames in H. More generally, the construction applies to any real, complex, or quaternionic inner product space.

单词	Complex Stiefel manifold
释义	Complex Stiefel manifold 英语百科 Stiefel manifold In mathematics, the Stiefel manifold V_k(R) is the set of all orthonormal k-frames in R. That is, it is the set of ordered k-tuples of orthonormal vectors in R. It is named after Swiss mathematician Eduard Stiefel. Likewise one can define the complex Stiefel manifold V_k(C) of orthonormal k-frames in C and the quaternionic Stiefel manifold V_k(H) of orthonormal k-frames in H. More generally, the construction applies to any real, complex, or quaternionic inner product space.
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Complex Stiefel manifold

Stiefel manifold