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Differential Geometry papers — page 9

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Correspondences, von Neumann algebras and holomorphic L2 torsion
Given a holomorphic Hilbertian bundle on a compact complex manifold, we introduce the notion of holomorphic L2 torsion, which lies in the determinant line of the twisted L2 Dolbeault cohomology…
Alan L. Carey, Michael Farber, Varghese MathaiMar 5, 1997
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Twisted product of Lie groups
In this article we define the twisted product of groups as the generalization of the semidirect product of groups. We will find the necessary and sufficient condition in order that the twisted…
Michael A. RudkovskiMar 3, 1997
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Space-time Averages in Macroscopic Gravity and Volume-preserving Coordinates
The definition of the covariant space-time averaging scheme for the objects (tensors, geometric objects, etc.) on differentiable metric manifolds with a volume n-form, which has been proposed for the…
Marc Mars, Roustam M. ZalaletdinovMar 2, 1997
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Gerstenhaber algebras and BV-algebras in Poisson geometry
The purpose of this paper is to establish an explicit correspondence between various geometric structures on a vector bundle with some well-known algebraic structures such as Gerstenhaber algebras…
Ping XuMar 1, 1997
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Differential Geometry of Time-Dependent Mechanics
The usual formulations of time-dependent mechanics start from a given splitting Y=R× M of the coordinate bundle Y R. From physical viewpoint, this splitting means that a reference frame…
G. Giachetta, L. Mangiarotti, G. SardanashvilyFeb 25, 1997
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Conformally flat Einstein-like 4-manifolds and conformally flat Riemannian 4-manifolds all of whose Jacobi operators have parallel eigenspaces along every geodesic
A local classification of locally conformal flat Riemannian Einstein-like four-manifolds as well as a local classification of all locally conformal flat Riemannian four-manifolds for which all Jacobi…
Stefan Ivanov, Irina PetrovaFeb 24, 1997
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Dual Teichm\" uller spaces
We describe in elementary geometrical terms Teichm\" uller spaces of decorated and holed surfaces. We construct explicit global coordinates on them as well as on the spaces of measured…
V. V. FockFeb 20, 1997
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Geometric Residue Theorems for Bundle Maps
In this paper we prove geometric residue theorems for bundle maps over a compact manifold. The theory developed associates residues to the singularity submanifolds of the map for any invariant…
Sunil NairFeb 19, 1997
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The Variational Sequence on Finite Jet Bundle Extensions and the Lagrangian Formalism
The geometric Lagrangian theory (of arbitrary order) is based on the analysis of some basic mathematical objects such as: the contact ideal, the (exact) variational sequence, the existence of…
Dan Radu GrigoreFeb 18, 1997
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Conformal invariant functionals of immersions of tori into R3
We show, that higher analogs of the Willmore functional, defined on the space of immersions M2→ R3, where M2 is a two-dimensional torus, R3 is the 3-dimensional Euclidean space are…
P. G. Grinevich, M. U. SchmidtFeb 17, 1997
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Differential Geometry of generalized almost quaternionic structures, 2
Notions of self-dual and anti self-dual almost quaternionic structures are introduced. The complete classification of self-dual and anti self-dual generalized Kaehler manifolds is obtained.
V. F. Kirichenko, O. E ArsenevaFeb 17, 1997
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Differential Geometry of generalized almost quaternionic structures, 1
The fibre bundles adjoint to generalized almost quaternionic structures are studied. The most important classes of generalized almost quaternionic manifolds are considered.
V. F. Kirichenko, O. E ArsenevaFeb 17, 1997
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Kodaira Dimension and the Yamabe Problem
The Yamabe invariant Y(M) of a smooth compact manifold is roughly the supremum of the scalar curvatures of unit-volume constant-scalar curvature Riemannian metrics g on M. (To be absolutely precise,…
Claude LeBrunFeb 13, 1997
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Continuous families of isospectral Riemannian metrics which are not locally isometric
Two Riemannian manifolds are said to be isospectral if the associated Laplace-Belttrami operators have the same eigenvalue spectrum. If the manifolds have boundary, one specifies DIrichlet or Neumann…
Carolyn S. Gordon, Edward N. WilsonFeb 13, 1997
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Continuous Families of Riemannian manifolds, isospectral on functions but not on 1-forms
The purpose of this paper is to present the first continuous families of Riemannian manifolds isospectral on functions but not on 1-forms, and simultaneously, the first continuous families of…
Ruth GornetFeb 13, 1997
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Locally conformal flat Riemannian manifolds with constant principal Ricci curvatures and locally conformal flat C-spaces
It is proved that every locally conformal flat Riemannian manifold all of whose Jacobi operators have constant eigenvalues along every geodesic is with constant principal Ricci curvatures. A local…
Stefan Ivanov, Irina PetrovaFeb 11, 1997
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Duality for Lie-Rinehart algebras and the modular class
We introduce a notion of duality for a Lie-Rinehart algebra giving certain bilinear pairings in its cohomology generalizing the usual notions of Poincaré duality in Lie algebra cohomology and de Rham…
Johannes HuebschmannFeb 8, 1997
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Moduli spaces of PU(2)-monopoles
The goal of this article was the S1-equivariant transversality-problem and the compactification-problem for the moduli spaces of (perturbed) PU(2)-monopoles. A substantially improved version…
Andrei TelemanFeb 7, 1997
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Tight immersions and local differential geometry
An immersion of a compact manifold is tight if it admits the minimal total absolute curvature over all immersions of the manifold. A prominent result in the study of minimal total absolute curvature…
Ross Niebergall, Gudlaugur ThorbergssonFeb 7, 1997
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H-projectively-equivalent four-dimensional Kahler manifolds
The paper is devoted to the investigation of four-dimensional Kahler manifolds admitting non-affine H-projective mappings. We find all such manifolds which are non-Einstein. In the paper also Kahler…
Dmitry A. KalininFeb 7, 1997
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Donaldson invariants for connected sums along surfaces of genus 2
We relate the Donaldson invariants of two four-manifolds Xi with embedded Riemann surfaces of genus 2 and self-intersection zero with the invariants of the manifold X which appears as a connected…
Vicente MunozFeb 7, 1997
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A fake smooth CP2 # RP4
We show that the manifold *CP2 # *RP4, which is homotopy equivalent but not homeomorphic to CP2 # RP4, is in fact smoothable.
Daniel Ruberman, Ronald J. SternFeb 6, 1997
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Gluing formulae for Donaldson invariants for connected sums along surfaces
We solve a conjecture of Morgan and Szabo (Embedded genus 2 surfaces in four-manifolds, Preprint) about the relationship of the basic classes of two four-manifolds Xi of simple type with b1=0,…
Vicente MunozFeb 6, 1997
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On Distortion and Thickness of Knots
What length of rope (of given diameter) is required to tie a particular knot? To answer this question, we define some new notions of thickness for a space curve, one based on Gromov's distortion,…
Robert B. Kusner, John M. SullivanFeb 4, 1997
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Moduli Spaces of Stable Polygons and Symplectic Structures on M0,n
In this paper, certain natural and elementary polygonal objects in Euclidean space, the stable polygons, are introduced, and the novel moduli spaces M r, ε of stable polygons…
Yi HuJan 27, 1997
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