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.
- Lattice Theory
- Latus Rectum
- Laurent Polynomial
- Laurent Series
- Law
- Law of Anomalous Numbers
- Law of Cancellation
- Law of Cosines
- Law of Large Numbers
- Law of Sines
- Law of Small Numbers
- Law of Tangents
- Law of Truly Large Numbers
- Lax-Milgram Theorem
- Lax Pair
- Layer
- Leading Digit Phenomenon
- Leading Order Analysis
- Leaf (Foliation)
- Leaf (Tree)
- Leakage
- Least Bound
- Least Common Multiple
- Least Deficient Number
- Least Period