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Differential Geometry papers — page 8

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A Compactness Theorem for Invariant Connections
Necessary and sufficient conditions are given for the Palais-Smale Condition C to hold for the Yang-Mills functional for invariant connections on a principal bundle over a compact manifold of any…
Johan RadeApr 10, 1997
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Quantum Hall Effect on the Hyperbolic Plane
In this paper, we study both the continuous model and the discrete model of the Quantum Hall Effect (QHE) on the hyperbolic plane. The Hall conductivity is identified as a geometric invariant…
A. Carey, K. Hannabus, V. Mathai et al.Apr 10, 1997
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Lie-Rinehart algebras, Gerstenhaber algebras, and B-V algebras
For a Lie-Rinehart algebra (A,L), generators for the Gerstenhaber algebra ΛA L correspond bijectively to right (A,L)-connections on A in such a way that B-V structures correspond to right…
Johannes HuebschmannApr 9, 1997
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Transports along Paths in Fibre Bundles. III. Consistency with Bundle Morphisms
The general problem for consistency between arbitrary transports along paths in fibre bundles and bundle morphisms between them is formulated and investigated. The special case of one fibre bundle,…
Bozhidar Z. IlievApr 7, 1997
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On Guichard's nets and Cyclic systems
In the first part, we give a self contained introduction to the theory of cyclic systems in n-dimensional space which can be considered as immersions into certain Grassmannians. We show how the…
U. Hertrich-Jeromin, E. -H. Tjaden, M. T. ZuercherApr 3, 1997
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Killing spinors are Killing vector fields in Riemannian Supergeometry
A supermanifold M is canonically associated to any pseudo Riemannian spin manifold (M0,g0). Extending the metric g0 to a field g of bilinear forms g(p) on Tp M, p∈ M0, the pseudo Riemannian…
D. V. Alekseevsky, V. Cortés, C. Devchand et al.Apr 2, 1997
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Characteristic Classes for the Degenerations of Two-Plane Fields in Four Dimensions
There is a remarkable type of field of two-planes special to four dimensions known as an Engel distributions. They are the only stable regular distributions besides the contact, quasi-contact and…
Maxim Kazarian, Richard Montgomery, Boris ShapiroApr 2, 1997
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Separated nets in Euclidean space and Jacobians of biLipschitz maps
We show that there are separated nets in the Euclidean plane which are not biLipschitz equivalent to the integer lattice. The argument is based on the construction of a continuous function which is…
Dmitri Burago, Bruce KleinerMar 30, 1997
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Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds
We consider the Dirac operator on compact quaternionic Kaehler manifolds and prove a lower bound for the spectrum. This estimate is sharp since it is the first eigenvalue of the Dirac operator on the…
W. Kramer, U. Semmelmann, G. WeingartMar 27, 1997
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Closed curves in R3: a characterization in terms of curvature and torsion, the Hasimoto map and periodic solutions of the Filament Equation
If a curve in R3 is closed, then the curvature and the torsion are periodic functions satisfying some additional constraints. We show that these constraints can be naturally formulated in terms of…
P. G. Grinevich, M. U. SchmidtMar 26, 1997
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Can We Look at The Quantisation Rules as Constraints?
In this paper we explore the idea of looking at the Dirac quantisation conditions as -dependent constraints on the tangent bundle to phase-space. Starting from the path-integral version of…
Ennio GozziMar 26, 1997
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Higher order Lagrangian supermechanics
Using supervector fields and graded forms along a morphism, we study the geometry of ordinary differential superequations, extend the formalism of higher order Lagrangian mechanics to the graded…
José F. Cariñena, Héctor FigueroaMar 24, 1997
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Sections along maps in Geometry and Physics
This paper points out the usefulness of the concept of derivation along a map in many problems in Geometry and Physics. In particular it will be shown that this approach allows us to translate the…
José F. CariñenaMar 24, 1997
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Hamiltonian versus Lagrangian formulations of supermechanic
We take advantage of different generalizations of the tangent manifold to the context of graded manifolds, together with the notion of super section along a morphism of graded manifolds, to obtain…
José F. Cariñena, Hector FigueroaMar 24, 1997
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The transversal wave equation and the noncommutative geodesic flow in Riemannian foliations
We study the transversal wave equation on a compact Riemannian foliated manifold. As applications, we get an Egorov's type theorem for transversally elliptic operators, state a relationship…
Yuri A. KordyukovMar 21, 1997
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Geometry of growth: Approximation theorems for L2 invariants
In this paper we study the problem of approximation of the L2-topological invariants by their finite dimensional analogues. We obtain generalizations of the theorem of Lück, dealing with towers of…
Michael FarberMar 21, 1997
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Gromov Invariants and Symplectic Maps
Given a symplectomorphism f of a symplectic manifold X, one can form the `symplectic mapping cylinder' Xf = (X × R × S1)/Z where the Z action is generated by $(x,s,t)…
Eleny-Nicoleta Ionel, Thomas H. ParkerMar 20, 1997
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Noncommutative spectral geometry of Riemannian foliations
We construct spectral triples in a sense of noncommutative differential geometry, associated with a Riemannian foliation on a compact manifold, and describe its dimension spectrum.
Yuri A. KordyukovMar 19, 1997
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New Geometric Framework for SU(2) Gauge Theory
An explicit model of fiber bundle with local fibers being disinct copies of vector 3-space is introduced. They are endowed with frames which are used as local isotopic ones. The field local of…
Z. Ya. TurakulovMar 18, 1997
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Geometric Quantization and No Go Theorems
A geometric quantization of a Kähler manifold, viewed as a symplectic manifold, depends on the complex structure compatible with the symplectic form. The quantizations form a vector bundle over the…
Viktor L. Ginzburg, Richard MontgomeryMar 18, 1997
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The Seiberg-Witten theory of homology 3-spheres
In this thesis we study the Seiberg-Witten theory of an oriented homology 3-sphere. The goal is to extract topological invariants - the Seiberg-Witten invariants - by counting the solutions to the…
Weimin ChenMar 16, 1997
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Classical Mechanics of Spinning Patricle in a Curved Space
An example of mechanical system whose configuration space is direct product of a curved space and the local group of rotations, is presented. The system is considered as a model of spinning particle…
Z. Ya TurakulovMar 14, 1997
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On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
We prove that for any affine variety S defined over Q there exist Shephard and Artin groups G such that a Zariski open subset U of S is biregular isomorphic to a Zariski open subset of the character…
Michael Kapovich, John MillsonMar 11, 1997
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A smooth counterexample to the Hamiltonian Seifert conjecture in R6
A smooth counterexample to the Hamiltonian Seifert conjecture for six-dimensional symplectic manifolds is found. In particular, we construct a smooth proper function on the symplectic 2n-dimensional…
Viktor L. GinzburgMar 9, 1997
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The Kobayashi pseudodistance on almost complex manifolds
We extend the definition of the Kobayashi pseudodistance to almost complex manifolds and show that its familliar properties are for the most part preserved. We also study the automorphism group of an…
Boris S. Kruglikov, Marius OverholtMar 6, 1997
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