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Frame bundle
About: Frame bundle is a research topic. Over the lifetime, 1600 publications have been published within this topic receiving 23049 citations.
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TL;DR: In this paper, the authors extend the theorems concerning the equivariant symplectic reduction of the cotangent bundle to contact geometry, and use Albert's method for reduction at zero and Willett's methods for non-zero reduction.
Abstract: We extend the theorems concerning the equivariant symplectic reduction of the cotangent bundle to contact geometry. The role of the cotangent bundle is tken by the cosphere bundle. We use Albert's method for reduction at zero and Willett's method for non-zero reduction.
7 citations
7 citations
TL;DR: In this paper, it was shown that the set of best approximations of a given dimension by elements of 5 has dimension at most n − km. This extends a classical theorem of Haar, Kolmogorov, and Rubinstein (the case of the product line bundle).
Abstract: Let p: E -* B be a real m-plane bundle and S an n-dimensional subspace of the space of sections T(E) of E. S is said to be ¿-regular if whenever xu .. ., xk are distinct points of B and v¡ £ p~l(x¡), 1 < i < k, there exists a a e S such that o(xf) = v, for 1 < ¡ < k. It is proved that if E has a Riemannian metric and £ is compact Hausdorff with at least k + 1 points, then 5 is ¿-regular if and only if for each
7 citations
7 citations
TL;DR: In this paper, the existence of a connection on a super vector bundle or on a principal super fibre bundle is equivalent to the vanishing of a cohomological invariant of the superbundle.
Abstract: We show that the existence of a connection on a super vector bundle or on a principal super fibre bundle is equivalent to the vanishing of a cohomological invariant of the superbundle. This invariant is proved to vanish in the case of a De Witt base supermanifold. Finally, some examples are discussed.
7 citations