On the Definition of Total Absolute Curvatures in Integral Geometry

On the total absolute curvature of close

On the total absolute curvature of closed curves in manifolds of negative curvature

✍ Yôtarô Tsukamoto 📂 Article 📅 1974 🏛 Springer 🌐 English ⚖ 280 KB

On the total absolute curvature of close

On the total absolute curvature of closed curves in spheres

✍ Eberhard Teufel 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 363 KB

The geometry of total curvature on compl

The geometry of total curvature on complete open surfaces

✍ Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka 📂 Library 📅 2003 🏛 Cambridge University Press 🌐 English ⚖ 1 MB

This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their w

The geometry of total curvature on compl

The geometry of total curvature on complete open surfaces

✍ Shioya T., Shiohama K. 📂 Library 📅 2003 🏛 Cambridge University Press 🌐 English ⚖ 2 MB

This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their w

Convergence of areas of surfaces whose a

Convergence of areas of surfaces whose absolute mean integral curvatures are bounded in totality

✍ I. A. Danelich 📂 Article 📅 1982 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 1006 KB

The Total Absolute Curvature of Nonclose

The Total Absolute Curvature of Nonclosed Curves inS2, (II)

✍ Kazuyuki Enomoto, Jin-ichi Itoh 📂 Article 📅 2004 🏛 Springer 🌐 English ⚖ 956 KB