Results 11 to 20 of about 230 (24)
Note on a Differential-Geometrical Construction of Optimal Directions in Linearly-Constrained Systems [PDF]
, 2010 This note presents an analytic construction of the optimal unit-norm direction hat(x) = x/|x| that maximizes or minimizes the objective linear expression, B . hat(x), subject to a system of linear constraints of the form [A] .
Ellis, John +2 more
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Generic singularities of symplectic and quasi-symplectic immersions
, 2012 For any ...
Arnol'd +8 more
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On the heat kernel of the Rumin complex and Calderón reproducing formula
Analysis and Geometry in Metric SpacesWe derive several properties of the heat equation with the Hodge operator associated with the Rumin’s complex on Heisenberg groups and prove several properties of the fundamental solution.
Ciatti Paolo +2 more
doaj +1 more source
Geometric structures on the tangent bundle of the Einstein spacetime [PDF]
, 2005 We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein ...
Janyška, Josef
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Advanced Nonlinear StudiesOn general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
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Orthogonal Appell bases for Hodge-de Rham systems in Euclidean spaces [PDF]
, 2011 Recently the Gelfand-Tsetlin construction of orthogonal bases has been explicitly described for the spaces of k-homogeneous polynomial solutions of the Hodge-de Rham system in the Euclidean space R^m which take values in the space of s-vectors.
Lavicka, Roman
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Completeness and incompleteness of the Binet-Legendre Metric
, 2014 The goal of this short paper is to give condition for the completeness of the Binet-Legendre metric in Finsler geometry.
Matveev, Vladimir S., Troyanov, Marc
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L2 dimensions of spaces of braid-invariant harmonic forms
, 2011 Let X be a Riemannian manifold endowed with a co-compact isometric action of an infinite discrete group. We consider L2 spaces of harmonic vector-valued forms on the product manifold X^N, which are invariant with respect to an action of the braid group ...
Daletskii, Alexei, Kalyuzhnyi, Alexander
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Inequalities for Green's operator applied to the minimizers
Journal of Inequalities and Applications, 2011 In this paper, we prove both the local and global Lφ -norm inequalities for Green's operator applied to minimizers for functionals defined on differential forms in Lφ -averaging domains.
Ding Shusen, Agarwal Ravi
doaj
Maslov class and minimality in Calabi-Yau manifolds
, 1999 Generalizing the construction of the Maslov class for a Lagrangian embedding in a symplectic vector space, we prove that it is possible to give a consistent definition of this class for any Lagrangian submanifold of a Calabi-Yau manifold.
Alessandro Arsie +4 more
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