Results 1  10
of
26
A SECONDORDER IDENTITY FOR THE RIEMANN TENSOR AND APPLICATIONS
, 2011
"... A secondorder differential identity for the Riemann tensor is obtained on a manifold with a symmetric connection. Several old and some new differential identities for the Riemann and Ricci tensors are derived from it. Applications to manifolds with recurrent or symmetric structures are discussed. ..."
Abstract
 Add to MetaCart
A secondorder differential identity for the Riemann tensor is obtained on a manifold with a symmetric connection. Several old and some new differential identities for the Riemann and Ricci tensors are derived from it. Applications to manifolds with recurrent or symmetric structures are discussed
The nonholonomic Riemann and Weyl tensors for flag manifolds
, 2005
"... On any manifold, any nondegenerate symmetric 2form (metric) and any skewsymmetric (differential) form ω can be reduced to a canonical form at any point, but not in any neighborhood: the respective obstructions being the Riemannian tensor and dω. The obstructions to flatness (to reducibility to a ..."
Abstract

Cited by 9 (3 self)
 Add to MetaCart
recently, though particular cases were known for more than a century (e.g., any contact structure is “flat”: it can always be reduced, locally, to a canonical form). We give a general definition of the nonholonomic analogs of the Riemann and Weyl tensors. With the help of Premet’s theorems and a package
Invariant operators on supermanifolds and standard models, in: Multiple facets of quantization and supersymmetry
, 2002
"... Here we continue to list the differential operators invariant with respect to the 15 exceptional simple Lie superalgebras g of polynomial vector fields. A part of the list (for operators acting on tensors with finite dimensional fibers) was earlier obtained in 2 of the 15 cases by Kochetkov and in o ..."
Abstract

Cited by 25 (5 self)
 Add to MetaCart
Here we continue to list the differential operators invariant with respect to the 15 exceptional simple Lie superalgebras g of polynomial vector fields. A part of the list (for operators acting on tensors with finite dimensional fibers) was earlier obtained in 2 of the 15 cases by Kochetkov
Quantum Gravity on a Circle and the Diffeomorphism Invariance of the Schrödinger Equation
, 1994
"... We study a model for quantum gravity on a circle in which the notion of a classical metric tensor is replaced by a quantum metric with an inhomogeneous transformation law under diffeomorphisms. This transformation law corresponds to the co–adjoint action of the Virasoro algebra, and resembles that o ..."
Abstract
 Add to MetaCart
We study a model for quantum gravity on a circle in which the notion of a classical metric tensor is replaced by a quantum metric with an inhomogeneous transformation law under diffeomorphisms. This transformation law corresponds to the co–adjoint action of the Virasoro algebra, and resembles
Classical ChernSimons theory, part 2
 Houston J. Math
"... Connections in fiber bundles, particularly in principal bundles, appear in many parts of differential geometry. For example, the basic invariant of a Riemannian metric—the Riemann curvature tensor—is the curvature of a canonical connection on the tangent bundle associated to the metric—the LeviCivi ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
Connections in fiber bundles, particularly in principal bundles, appear in many parts of differential geometry. For example, the basic invariant of a Riemannian metric—the Riemann curvature tensor—is the curvature of a canonical connection on the tangent bundle associated to the metric—the Levi
Stochastic Differential Geometry and the Random Integration of the NavieraStokes Equations
 on Smooth Manifolds and the Kinematic Dynamo Problem on Smooth Compact Manifolds and Euclidean Space, to appear, Algebras, Groups and Geometries
"... Abstract: In this article we integrate in closed implicit form the NavierStoker equations for an incompressible fluid in a smooth compact manifold without boundary, and in particular, in a compact manifold which is isometrically embedded in Euclidean space, and finally in Euclidean space itself. We ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
of diffusion processes on smooth manifolds. Thus we start by defining the invariant infinitesimal generators of diffusion processes of differential forms on smooth compact manifolds, in terms of the laplacians (on differential forms) associated with the RiemannCartanWeyl (RCW) metric compatible connections
Higher Order Deformations of Complex Structures?
"... Abstract. Deformations of complex structures by finite Beltrami differentials are considered on general Riemann surfaces. Exact formulas to any fixed order are derived for the corresponding deformations of the period matrix, Green’s functions, and correlation functions in conformal field theories w ..."
Abstract
 Add to MetaCart
formulation of the RNS superstring. Key words: Beltrami differentials; deformations of covariant derivatives; stress tensor; conformal invariance 2010 Mathematics Subject Classification: 32G05; 51M15; 51P05; 53Z05 1
Spacetime Deformations and Electromagnetism in Material Media
, 2005
"... This paper is intended to investigate the relation between electrodynamics in anisotropic material media and its analogous formulation in an spacetime, with nonnull Riemann curvature tensor. After discussing the electromagnetism via chiral differential forms, we point out the optical activity of a ..."
Abstract
 Add to MetaCart
This paper is intended to investigate the relation between electrodynamics in anisotropic material media and its analogous formulation in an spacetime, with nonnull Riemann curvature tensor. After discussing the electromagnetism via chiral differential forms, we point out the optical activity of a
Bifurcation diagrams and heteroclinic networks of octagonal hplanforms
 Journal of Nonlinear Science
, 2012
"... This paper completes the classification of bifurcation diagrams for Hplanforms in the Poincaré disc D whose fundamental domain is a regular octagon. An Hplanform is a steady solution of a PDE or integrodifferential equation in D, which is invariant under the action of a lattice subgroup Γ of U(1, ..."
Abstract

Cited by 7 (6 self)
 Add to MetaCart
of structure tensors. Under ”generic ” assumptions the bifurcation problem reduces to an ODE which is invariant by an irreducible representation of the group of automorphisms G of the compact Riemann surface D/Γ. The irreducible representations of G have dimension one, two, three and four. The bifurcation
Intersection Numbers and Rank One Cohomological Field Theories in Genus One
, 1998
"... Abstract. We obtain a simple, recursive presentation of the tautological (κ, ψ, and λ) classes on the moduli space of curves in genus zero and one in terms of boundary strata (graphs). We derive differential equations for the generating functions for their intersection numbers which allow us to prov ..."
Abstract

Cited by 12 (3 self)
 Add to MetaCart
the GromovWitten invariants themselves. The moduli spaces of curves are endowed with tautological classes whose generating functions for their associated intersection numbers obey a system of differential equations which often possess remarkable properties [27, 17]. In this paper, we apply a mixture
Results 1  10
of
26