On the Gaussian Kinematic Formula of R. Adler and J. Taylor

التفاصيل البيبلوغرافية
العنوان: On the Gaussian Kinematic Formula of R. Adler and J. Taylor
المؤلفون: Fu, Joseph H. G.
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Differential Geometry, Primary 53C65, Secondary 53Z50
الوصف: We apply methods of algebraic integral geometry to prove a special case of the Gaussian kinematic formula of Adler-Taylor. The idea, suggested already by Adler and Taylor, is to view the GKF as the limit of spherical kinematic formulas for spheres of large dimension $N$ and curvature $\frac 1 N$.
Comment: 14 pages; minor corrections made
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2408.11233
رقم الأكسشن: edsarx.2408.11233
قاعدة البيانات: arXiv