Results 51 to 60 of about 226,986 (311)
Exotic spheres’ metrics and solutions via Kaluza-Klein techniques
By applying an inverse Kaluza-Klein procedure, we provide explicit coordinate expressions for Riemannian metrics on two homeomorphic but not diffeomorphic spheres in seven dimensions.
T. Schettini Gherardini
doaj +1 more source
Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle
A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
doaj +1 more source
Criterion for connections on principal bundles over a pointed Riemann surface
We investigate connections, and more generally logarithmic connections, on holomorphic principal bundles over a compact connected Riemann surface.
Biswas Indranil
doaj +1 more source
Curvature-torsion quasitensor of Laptev fundamental-group connection
We consider a space with Laptev's fundamental group connection generalizing spaces with Cartan connections. Laptev structural equations are reduced to a simpler form.
Yu. I. Shevchenko
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Affine Connection Representation of Gauge Fields
There are two ways to unify gravitational field and gauge field. One is to represent gravitational field as principal bundle connection, and the other is to represent gauge field as affine connection.
Zhao-Hui Man
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Unified prescription for the generation of electroweak and gravitational gauge field Lagrangian on a principal fiber bundle [PDF]
It is essentially known that useful gauge field Lagrangians arise as Weil polynomials of the curvature of the gauge connection. The deeper implications and details of this fact are worked out in two widely differing cases.
T. Verwimp
semanticscholar +1 more source
On the universal ellipsitomic KZB connection [PDF]
We construct a twisted version of the genus one universal Knizhnik–Zamolodchikov–Bernard (KZB) connection introduced by Calaque–Enriquez–Etingof, that we call the ellipsitomic KZB connection.
D. Calaque, Martin Gonzalez
semanticscholar +1 more source
Differential geometry of collective models
The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
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Logarithmic connections on principal bundles over a Riemann surface [PDF]
Let [Formula: see text] be a holomorphic principal [Formula: see text]-bundle on a compact connected Riemann surface [Formula: see text], where [Formula: see text] is a connected reductive complex affine algebraic group. Fix a finite subset [Formula: see text], and for each [Formula: see text] fix [Formula: see text].
Indranil Biswas+3 more
openaire +4 more sources
A transient inflammatory response contributes to oxaliplatin neurotoxicity in mice
Abstract Objectives Peripheral neuropathy is a relevant dose‐limiting adverse event that can affect up to 90% of oncologic patients with colorectal cancer receiving oxaliplatin treatment. The severity of neurotoxicity often leads to dose reduction or even premature cessation of chemotherapy.
Aina Calls+9 more
wiley +1 more source