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106 494 (0,136s)

Result

Differential invariants of generic hyperbolic Monge - Ampere equations

In this paper basic differential invariants of generic hyperbolic Monge?Ampere equations with respect to contact transformations are constructed and the equivalence problem for these equations is solved....

BA - Obecná matematika

  • 2007
  • Jx
Result

Lectures on Geometry of MongeAmpere Equations with Maple

Introduction to geometric approach to a large class of important non-linear PDEs, including illustrations how to support the research and computations by the CAM software Maple......

Pure mathematics

  • 2019
  • C
  • Link
Result

Meta-Symplectic Geometry of 3rd Order Monge-Ampere Equations and their Characteristics

) Monge-Ampere equations, by using the so-called "meta-symplectic structure a geometric definition of a third-order Monge-Ampere equation in terms of a (class the paper with a study of the intermediate integrals of...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Scalar differential invariants of Monge?Amp?re equations

We construct differential invariants of generic Monge?Amp?re equations with respect to contact transformations. The invariants are sufficient for solution of the equivalence problem....

BA - Obecná matematika

  • 2005
  • Jx
Result

Generalized Calabi-Yau metric and Generalized Monge-Ampere equation.

of the complex Monge-Ampere equation and its solutions give supergravity solutionswith metricIn the neighborhood of a regular point, generalized Kahler geometry admits a description in terms of a single real function, the ...

BF - Elementární částice a fyzika vysokých energií

  • 2010
  • Jx
Result

PSEUDO-RIEMANNIAN AND HESSIAN GEOMETRY RELATED TO MONGE-AMPERE STRUCTURES

We study properties of pseudo-Riemannian metrics corresponding to Monge-Ampère structures on four dimensional $T^*M$. We describe a family of Ricci flat solutions, which are parametrized by six coefficients satisfying the Plücker embedding e...

Mathematics

  • 2022
  • Jimp
  • Link
Result

Some Remarks on Multisymplectic and Variational Nature of Monge-Ampère Equations in Dimension Four

We describe a necessary condition for the local solvability of the strong inverse variational problem in the context of Monge-Ampère partial differential equations and first-order Lagrangians. This condition is based on comparing effective d...

Mathematics

  • 2023
  • C
  • Link
Result

Normal cycles and curvature measures of sets with d.c. boundary

describe the local index function of the Legendrian cycles and we show...

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

A note on Sobolev isometric immersions below W-2,W-2 regularity

This paper aims to investigate the Hessian of second order Sobolev isometric immersions below the natural W-2,W-2 setting. We show that the Hessian of each coordinate function of a W-2,W-p < 2, isometric immersion satisfies a low rank pro...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

Remarks on non-maximal integral elements of the Cartan plane in jet spaces

show that a third-order nonlinear PDE of Monge-Ampere type is not contactThere is a natural filtration on the space of degree-k homogeneous polynomials in is independent variables with coefficients in the algebra of smooth func...

BA - Obecná matematika

  • 2014
  • Jx
  • Link
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