Results 41 to 50 of about 1,726,170 (370)
Journal of Geometry and Physics, 2004 We define contact fiber bundles and investigate conditions for the existence of contact structures on the total space of such a bundle. The results are analogous to minimal coupling in symplectic geometry. The two applications are construction of K-contact manifolds generalizing Yamazaki's fiber join construction and a cross-section theorem for contact
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Homotopy equivalence of fiber bundles [PDF]
Proceedings of the American Mathematical Society, 1958 2. The classification theorem. We use the notation and results of [3]. We require that the base space B be a polyhedron because this allows us to use a result of A. Dold [2 ] to simplify both the statement and proof of the theorem. We will assume that the fiber F is locally compact and let M be the space of maps F-*F which have homotopy inverses ...
R. Lashof, M. L. Curtis
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Journal of Integrative Neuroscience, 2023 Background: Essential tremor (ET) is a common slowly-progressive neurologic disorder. It is predominantly characterized by kinetic tremors involving bilateral upper limbs.
Maurizio Bergamino +4 more
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Glued linear connection on surface of the projective space
Дифференциальная геометрия многообразий фигур, 2020 We consider a surface as a variety of centered planes in a multidimensional projective space. A fiber bundle of the linear coframes appears over this manifold. It is important to emphasize the fiber bundle is not the principal bundle.
K.V. Bashashina
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Cohomology of GKM fiber bundles [PDF]
Journal of Algebraic Combinatorics, 2011 The equivariant cohomology ring of a GKM manifold is isomorphic to the cohomology ring of its GKM graph. In this paper we explore the implications of this fact for equivariant fiber bundles for which the total space and the base space are both GKM and derive a graph theoretical version of the Leray-Hirsch theorem.
Sabatini, Silvia +2 more
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Complex collagen fiber and membrane morphologies of the whole porcine aortic valve. [PDF]
PLoS ONE, 2014 Replacement aortic valves endeavor to mimic native valve function at the organ, tissue, and in the case of bioprosthetic valves, the cellular levels.
Christopher A Rock +2 more
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Martingales on principal fiber bundles
Proyecciones (Antofagasta), 2023 Let P(M,G) be a principal fiber bundle, let ω be a connection form on P(M,G), and consider a projectable connection ∇P on P(M,G). The aim of this work is to determine the ∇P -martingales in P(M,G). Our results allow establishing new characterizations of harmonic maps from Riemannian manifolds to principal fiber bundles.
Catuogno, Pedro, Stelmastchuk, Simão N.
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Biomedical Optics Express, 2013 Endocytoscopy is an optical biopsy technique which uses a miniaturized camera to capture white light microscopy images through an endoscope. We have developed an alternative design that instead relays images to an external camera via a coherent fiber bundle.
Guang-Zhong Yang +2 more
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Scientific Reports, 2021 The ratio of type III to type I collagen is important for properly maintaining functions of organs and cells. We propose a method to quantify the ratio of type III to total (type I + III) collagen (λ III ) in a given collagen fiber bundle using second ...
Shukei Sugita +5 more
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Fiber bundles and matrix models [PDF]
Physical Review D, 2008 53 pages, references added, typos ...
Takaaki Ishii +3 more
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