Publications and other writings

Below are the MSC2020 classes most relevant to my present and past research, listed in a roughly descending order of current interests:

58H Pseudogroups, differentiable groupoids and general structures on manifolds

• 58H05 Pseudogroups and differentiable groupoids

53C Global differential geometry

• 53C05 Connections (general theory)

• 53C10 G-structures

• 53C12 Foliations (differential geometric aspects)

• 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)

• 53C17 Sub-Riemannian geometry

58A General theory of differentiable manifolds

• 58A10 Differential forms in global analysis

• 58A15 Exterior differential systems (Cartan theory)

• 58A17 Pfaffian systems

• 58A20 Jets in global analysis

• 58A30 Vector distributions (subbundles of the tangent bundles)

53D Symplectic geometry, contact geometry

• 53D15 Almost contact and almost symplectic manifolds

• 53D17 Poisson manifolds; Poisson groupoids and algebroids

• 53D18 Generalized geometries (à la Hitchin)

• 53D20 Momentum maps; symplectic reduction

• 53D35 Global theory of symplectic and contact manifolds

57R Differential topology

• 57R25 Vector fields, frame fields in differential topology

• 57R30 Foliations in differential topology; geometric theory

• 57R57 Applications of global analysis to structures on manifolds

58J Partial differential equations on manifolds; differential operators

• 58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)

• 58J70 Invariance and symmetry properties for PDEs on manifolds

Miscellanea

• 22A22 Topological groupoids (including differentiable and Lie groupoids)

• 22E05 Local Lie groups

• 35A30 Geometric theory, characteristics, transformations in context of PDEs

• 35R01 PDEs on manifolds

• 37J39 Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.)

70G General models, approaches, and methods in mechanics of particles and systems

• 70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholo-

nomic, etc.) for problems in mechanics

• 70G65 Symmetries, Lie group and Lie algebra methods for problems in mechanics

70S Classical field theories

• 70S05 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems

• 70S10 Symmetries and conservation laws in mechanics of particles and systems