parallelizable manifold meaning in Hindi

Examples

1. More generally, any compact parallelizable manifold, including any compact Lie group, has Euler characteristic 0.
2. Changing to and between general tetrads is much similar and equally necessary ( except for parallelizable manifolds ).
3. The Kervaire Milnor formula for the order of the cyclic group of diffeomorphism classes of exotic-spheres which bound parallelizable manifolds involves Bernoulli numbers.
4. Let us note that a true translation gauge field ( i . e ., an affine connection which yields a flat linear connection on TX ) is well defined only on a parallelizable manifold X.