2025/04/21 by Michor, Peter W. · 1 citation
#37K07 #58B20 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2504.15010
The Schouten-Nijenhuis bracket on smooth infinite-dimensional manifolds M is developed in two steps: For summable multivector fields whose pointwise dual are all differential form, and in an extended form for multivector fields which are sections of L\bulletskew(T^*M,\mathbb R). We need to either assume that C∞(M) separates points on TM, or consider sheaves of local sections.