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math.DG2026
Poisson and Jacobi structures from 2-covariant tensors
Manuel de León, Xavier Grà cia, Rubén Izquierdo-López +2
Poisson and Jacobi structures play a fundamental role in the geometric description of many systems arising in classical mechanics. In most cases, the corresponding bivector field i…
math.DG2026
Pairs of differential forms: a framework for precontact geometry
Xavier Grà cia, Ãngel MartÃnez-Muñoz, Xavier Rivas
Precontact manifolds extend contact geometry by weakening the maximal non-integrability condition of the defining -form. We clarify the geometric foundations of this structure b…
math.DG2026
Time-dependent metrics and connections
Xavier Grà cia, Xavier Rivas, Daniel Torres
Time-dependent structures often appear in differential geometry, particularly in the study of non-autonomous differential equations on manifolds. One may study the geodesics associ…