Chinese Quarterly Journal of Mathematics ›› 2026, Vol. 41 ›› Issue (1): 15-37.doi: 10.13371/j.cnki.chin.q.j.m.2026.01.002

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The Noncommutative Residue and Sub-Riemannian Limits for the Twisted BCV Spaces

  

  1. 1. School of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, China; 2. Mathematical Science Research Center, Chongqing University of Technology, Chongqing 400054, China; 3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
  • Received:2025-06-05 Online:2026-03-30 Published:2026-03-30
  • About author:LI Hong-feng (1997-), male, native of Anshan, Liaoning, lecturer of Shenyang Normal University, engages in global differential geometry; LIU Ke-feng (1965-), male, native of Kaifeng, Henan, professor of Chongqing University of Technology, engages in complex geometry; WANG Yong (1976-), male, native of Changchun, Jilin, professor of Northeast Normal University, engages in global differential geometry.
  • Supported by:
    Supported by National Natural Science Foundation of China (Grant No. 11771070).

Abstract: In this paper, we derive the sub-Riemannian version of the Kastler-KalauWalze type theorem and the Dabrowski-Sitarz-Zalecki type theorem for the twisted BCV spaces. We also compute the Connes conformal invariants for the twisted product, as well as the sub-Riemannian limits of the Connes conformal invariants for the twisted BCV spaces.

Key words: Scalar curvature, Sub-Riemannian limit, Conformal invarints, Twisted BCV spaces, Kastler-Kalau-Walze type theorems, Dabrowski-Sitarz-Zalecki type theorems

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