Results 1 to 10 of about 135,026 (217)
Curvature tensor of connection in principal bundle of Cartan's projective connection space
Дифференциальная геометрия многообразий фигур, 2019 We considered Cartan's projective connection space with structure equations generalizing the structure equations of the projective space and the condition of local projectivity (this condition is an analogue to the equiprojectivity condition in the ...
K. Bashashina
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T-duality as correspondences of categorified principal bundles with adjusted connections [PDF]
Proceedings of Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2022), 2023 We provide a pedagogical introduction to the theory of principal 2-bundles with adjusted connections and show how they enter the description of geometric and non-geometric T-dualities as proposed in arXiv:2204.01783.
Christian Saemann, Hyungrok Kim
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On Invariant Connections over a Principal Fibre Bundle [PDF]
Nagoya Mathematical Journal, 1958 The invariant affine connection over a coset space G/J of a Lie group G have been discussed by various authors. Recently, Nomizu [8] gave a systematic study of this problem when J is reductible in G. Among other results, he established a 1-1 correspondence between the invariant affine connections and certain multilinear mappings, and calculated the ...
Hsien-Chung Wang
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CONNECTION AND CURVATURE IN A PRINCIPAL BUNDLE OF DIFFERENTIAL SPACES [PDF]
Demonstratio Mathematica, 1992 In this paper, which is a continuation of the considerations contained in the paper [1], we define the notions of connection and curvature in the principal bundle of differential spaces.
Andrzej Trafny
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On principal connection like bundles [PDF]
Czechoslovak Mathematical Journal, 2014 Let PBm be the category of all principal fibred bundles with m-dimensional bases and their principal bundle homomorphisms covering embeddings. We introduce the concept of the so called (r,m)-systems and describe all gauge bundle functors on PBm of order r by means of the (r,m)-systems.
W. Mikulski
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Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety [PDF]
, 2020 Let X be a connected smooth complex projective variety of dimension $$n \ge 1$$ n ≥ 1 . Let D be a simple normal crossing divisor on X . Let G be a connected complex Lie group, and $$E_G$$ E G a holomorphic principal G -bundle on X .
Sudarshan Gurjar, Arjun Paul
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Relative connections on principal bundles and relative equivariant structures [PDF]
Differential Geometry and its Applications, 2023 We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic principal bundle over a complex analytic family. We also introduce the notion of relative equivariant bundles and establish its relation
Mainak Poddar, Anoop Singh
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Дифференциальная геометрия многообразий фигур, 2020 The hypercentered planes family, whose dimension coincides with dimension of generating plane, is considered in the projective space. Two principal fiber bundles arise over it.
A.V. Vyalova
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On connections on principal bundles
Arab Journal of Mathematical Sciences, 2017 A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
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Root stacks, principal bundles and connections
Bulletin des Sciences Mathématiques, 2012 We investigate principal bundles over a root stack. In case of dimension one, we generalize the criterion of Weil and Atiyah for a principal bundle to have an algebraic connection.
Indranil Biswas +2 more
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