2015/01/25 by Yongsheng Zhang, Zhang, Yongsheng
Mathematics · #Calibration #Computer science #Differential Geometry (math.DG) #Extension (predicate logic) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Mathematical analysis #Mathematics #Point processes and geometric inequalities #Pure mathematics #Set (abstract data type) #Statistics #Submanifold #math.DG
paper · pdf · doi:10.48550/arxiv.1501.06163
published in arXiv (Cornell University) (Cornell University) · 10 pages, 6 figures, comments are welcome
arxiv created 2015/01/25 · openalex publication_date 2015/01/25 · arxiv updated 2015/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is a companion note of [Zhaa] (arXiv:1501.01836) where the extension of local calibration pairs of smooth submanifolds is discussed. Here we emphasize on the case of singular submanifolds. More precisely, we study when a calibration pair around the singular set of a submanifold can extend to a local calibration pair about the entire submanifold. Based upon [Zhab] (arXiv:1501.04681) several examples of particular interests under the view of calibrated geometry are considered.