Results 21 to 30 of about 1,013,818 (123)
Geometry of the Hopf Bundle and spin-weighted Harmonics [PDF]
arXiv, 2014 We demonstrate that it is conceptually and computationally favorable to regard spin-weighted spherical harmonics as vector valued functions on the total space $SO(3)$ of the Hopf bundle, satisfying a covariance condition with respect to the gauge group $U(1)$ of this bundle.
arxiv
On the geometry of variational calculus on some functional bundles [PDF]
arXiv, 2004 We first generalize the operation of formal exterior differential in the case of finite dimensional fibered manifolds and then we extend it to certain bundles of smooth maps. In order to characterize the operator order of some morphisms between our bundles of smooth maps, we introduce the concept of fiberwise $(k,r)$-jet.
arxiv
A note on regularization and renormalization [PDF]
arXiv, 2003 We look at sections of a function bundle over the space of linear differential operators. We find that one can construct an isomorphism between a certain quotient bundle and the fourier counterpart of the original bundle defined by formal integration by parts. We also show that differential renormalization is an example of this technique.
arxiv
Critical loci for Higgs bundles [PDF]
arXiv, 2017 The paper studies the locus in the rank 2 Higgs bundle moduli space corresponding to points which are critical for d of the Poisson commuting functions. These correspond to the Higgs field vanishing on a divisor of degree D. The degree D critical locus has an induced integrable system related to K(-D)-twisted Higgs bundles. Topological and differential-
arxiv
Geometric and Analytic Aspects of Simon-Lojasiewicz Inequalities on Vector Bundles [PDF]
arXivIn real analysis, the Lojasiewicz inequalities, revitalized by Leon Simon in his pioneering work on singularities of energy minimizing maps, have proven to be monumental in differential geometry, geometric measure theory, and variational problems. These inequalities provide specific growth and stability conditions for prescribed real-analytic functions,
arxiv
A spontaneous or pacing-induced transition from slow-fast atrioventricular nodal reentrant tachycardia to fast-slow type using a superior slow pathway. [PDF]
J ArrhythmMiyazawa H +3 more
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Divergent brain regional atrophy and associated fiber disruption in amnestic and non-amnestic MCI. [PDF]
Alzheimers Res Ther, 2023 Du C, Dang M, Chen K, Chen Y, Zhang Z.
europepmc +1 more source
Pacing of the specialized His Purkinje conduction system: 'HOW and FOR WHOM'. [PDF]
Eur Heart J SupplChiarazzo E +5 more
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Differential Item Functioning Effect Size Use for Validity Information. [PDF]
Educ Psychol MeasFinch WH +3 more
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