Integrable \(p\)-almost tangent manifolds and tangent bundles of \(p^ 1\)- velocities

DOI10.1007/BF01903546zbMath0757.53015MaRDI QIDQ1187293

Isabel Méndez, Modesto Salgado, Manuel de León

Publication date: 28 June 1992

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

\(p\)-almost tangent structure\(p^ 1\)-velocities

Mathematics Subject Classification ID

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

Related Items (14)

A global characterization of jet bundles of \(p^ 1\)-velocities and covelocities ⋮ The Günther’s formalism in classical field theory: momentum map and reduction ⋮ The globalization problem of the Hamilton-DeDonder-Weyl equations on a local \(k\)-symplectic framework ⋮ SYMMETRIES AND CONSERVATION LAWS IN THE GÜNTHER k-SYMPLECTIC FORMALISM OF FIELD THEORY ⋮ NONHOLONOMIC CONSTRAINTS IN k-SYMPLECTIC CLASSICAL FIELD THEORIES ⋮ SYMMETRIES, NEWTONOID VECTOR FIELDS AND CONSERVATION LAWS IN THE LAGRANGIAN k-SYMPLECTIC FORMALISM ⋮ The second-order problem for \(k\)-presymplectic Lagrangian field theories: application to the Einstein-Palatini model ⋮ \(k\)-cosymplectic classical field theories: Tulczyjew and skinner-rusk formulations ⋮ Some aspects of the theory of manifolds over algebras and Weil bundles ⋮ Existence of $p$-almost tangent structures ⋮ HAMILTON–JACOBI THEORY IN k-SYMPLECTIC FIELD THEORIES ⋮ Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator ⋮ Nonstandard connections in k-cosympletic field theory ⋮ HAMILTON–JACOBI THEORY IN k-COSYMPLECTIC FIELD THEORIES

Cites Work

• Integrable almost tangent structures
• Differential geometry on almost tangent manifolds
• Structure presque tangente et connexions. I
• Affine bundles and integrable almost tangent structures
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