Stiefel Manifold

The Stiefel manifold of Orthonormal -frames in is the collection of vectors(, ..., ) where is in for all , and the -tuple (, ..., ) isOrthonormal. This is a submanifold of , having Dimension .

Sometimes the ``orthonormal'' condition is dropped in favor of the mildly weaker condition that the -tuple (,..., ) is linearly independent. Usually, this does not affect the applications since Stiefel manifolds are usuallyconsidered only during Homotopy Theoretic considerations. With respect to HomotopyTheory, the two definitions are more or less equivalent since Gram-Schmidt Orthonormalization gives rise to asmooth deformation retraction of the second type of Stiefel manifold onto the first.

• Analytic Function
• Analytic Geometry
• Analytic Set
• Anarboricity
• Anchor
• Anchor Ring
• And
• Anderson-Darling Statistic
• Andrews Cube
• Nilpotent Lie Group
• Nilpotent Matrix
• Nim
• Nim-Heap
• Nim-Sum
• Nim-Value
• n-in-a-Row
• Nine-Point Center
• Nine-Point Circle
• Nine-Point Conic
• Nint
• Nint Zeta Function
• Nirenberg's Conjecture
• Niven Number
• Niven's Constant
• n-minex