Geometric Structures and Differential Operators on Manifolds Having Super tangent Bundle

2020/11/14 by Nasser Boroojerdian, Naser Boroojerdian, Boroojerdian, Naser · 1 citation
Mathematics · Physics and Astronomy · #53xx #A.1 #Advanced Differential Geometry Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #acm:53xx #math-ph #math.DG #math.MP #msc:53xx

paper · pdf · doi:10.48550/arxiv.2011.07382

30 pages

arxiv created 2020/11/14 · openalex publication_date 2020/11/14 · arxiv updated 2020/11/17 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the notion of a super tangent bundle of a manifold, and extend the basic notions of differential geometry such as differential forms, exterior derivation, connection, metric and divergence on manifolds that equipped with a super tangent bundle.

Cited by

• Super Space-time, a Model for Gravity and Dark Matter

Related

• Generalized Dirac operators and superconnections
• The definition of a differential form on a tangent structure
• Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings
• Geometry on Big-Tangent Manifolds
• Connection of the differential-geometrical structures with skew-symmetric differential forms. Forming differential-geometrical structures and manifolds