Topic
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, it was shown that the intermediate cohomology modules of a rank two vector bundle on P3 cannot be written as the direct sum of two graded submodules with disjoint supports.
Abstract: It is shown that the intermediate cohomology modules of a rank two vector bundle on P3 cannot be written as the direct sum of two graded submodules with disjoint supports. As a consequence the same property holds for the Rao module of a subcanonical curve in P3.
5 citations
Posted Content•
TL;DR: In this article, the authors studied the space of oriented genus g subsurfaces of a fixed manifold M and its homological properties, and constructed a "scanning map" which compared this space to the spaces of sections of a certain fibre bundle over M associated to its tangent bundle.
Abstract: We study the space of oriented genus g subsurfaces of a fixed manifold M, and in particular its homological properties. We construct a "scanning map" which compares this space to the space of sections of a certain fibre bundle over M associated to its tangent bundle, and show that this map induces an isomorphism on homology in a range of degrees.
Our results are analogous to McDuff's theorem on configuration spaces, extended from 0-manifolds to 2-manifolds.
5 citations
TL;DR: In this paper, it was shown that the BKS-pairing is well defined for any compatible polarization on a symplectic manifold for which there exists a metalinear frame bundle, and thus the name "metalinear correction" would be more appropriate than the commonly used name'metaplectic correction'.
5 citations
01 Jan 1996
TL;DR: In this article, the authors give the equations of structure of an N-linear connection in the bundle of accelerations in higher order Lagrange spaces, which correspond to k = 2.
Abstract: The study of higher order Lagrange spaces founded on the notion of bundle of velocities of order k has been recently given by Radu Miron and author in [2]-[5]. The bundle of acceleration correspond in this study to k = 2. In this paper we shall give the equations of structure of an N-linear connection in the bundle of accelerations.
5 citations
Book Chapter•
01 Jan 1993
TL;DR: In this paper, the structure equations of connections on the principal bundle F2M of second-order holonomic frames of a differentiable manifold M were discussed, and use is made of the natural embedding of F 2M into the bundle F(FM) of secondorder nonholonomic frames.
Abstract: This paper discusses the structure equations of connections on the principal bundle F2M of second-order holonomic frames of a differentiable manifold M. Use is made of the natural embedding of F2M into the bundle F(FM) of second-order nonholonomic frames
5 citations