Results 11 to 20 of about 253 (46)

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, Arnol’d, Gromov, Harvey, Strominger   +4 more
core   +2 more sources

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, Lee, Jae Sik, Pilaftsis, Apostolos   +2 more
core  

Generic singularities of symplectic and quasi-symplectic immersions

, 2012
For any ...
Arnol'd, Domitrz, Domitrz, Gelfand, M. ZHITOMIRSKII, Oshima, S. JANECZKO, W. DOMITRZ, Zhitomirskii   +8 more
core   +1 more source

On the heat kernel of the Rumin complex and Calderón reproducing formula

Analysis and Geometry in Metric Spaces
We 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, Franchi Bruno, Sire Yannick   +2 more
doaj   +1 more source

On the naturality of the Mathai-Quillen formula

, 2009
We give an alternative proof for the Mathai-Quillen formula for a Thom form using its natural behaviour with respect to fiberwise integration.
Berline N., Bott R., Gyula Lakos, Mathai V., Narasimhan M. S.   +4 more
core   +1 more source

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

Advanced Nonlinear Studies
On 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
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
core   +2 more sources

Grassmann Electrodynamics and General Relativity

, 2003
The aim of this paper is to present a short introduction to supergeometry on pure odd supermanifolds. (Pseudo)differential forms, Cartan calculus (DeRham differential, Lie derivative, "inner" product), metric, inner product, Killing's vector fields ...
Berezin, Berezin, Berezin, Casalbuoni, Denis Kochan, Leites, Martin   +6 more
core   +1 more source

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
core   +1 more source

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