In mathematics, a differentiable manifold M {\displaystyle M} of dimension n is called parallelizable if there exist smooth vector fields { V 1 , … , V...

1 {\displaystyle bP_{n+1}} represented by n-spheres that bound parallelizable manifolds. The structures of b P n + 1 {\displaystyle bP_{n+1}} and the quotient...

{\displaystyle bP_{n+1}} is the cyclic subgroup of n-spheres that bound a parallelizable manifold of dimension n + 1 {\displaystyle n+1} , π n S {\displaystyle \pi...

parallelizable manifold, including any compact Lie group, has Euler characteristic 0. The Euler characteristic of any closed odd-dimensional manifold...

manifold is called parallelizable whenever it admits a parallelization. Every Lie group is a parallelizable manifold. The product of parallelizable manifolds...

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow...

boundary of the manifold into which it is embedded. Orientation of a vector bundle Parallelizable – A smooth manifold is parallelizable if it admits a...

Benjamin, New York-Amsterdam x+203 pp.MR0258020 Bott–Duffin inverse Parallelizable manifold Thom's and Bott's proofs of the Lefschetz hyperplane theorem Atiyah...

vector bundle TM. Hence, the four-dimensional spacetime manifold M must be a parallelizable manifold. The tetrad field was introduced to allow the distant...

the cyclic subgroup represented by homotopy spheres that bound a parallelizable manifold, πS n is the nth stable homotopy group of spheres, and J is the...