6533b82bfe1ef96bd128df8e

RESEARCH PRODUCT

Differential Geometry of Curves and Surfaces

Rémi Langevin

subject

PhysicsSurface (mathematics)symbols.namesakeFrenet–Serret formulasGaussian integralMathematical analysisGaussian curvaturesymbolsConstant-mean-curvature surfaceDifferential geometry of curvesLinking numberDifferential (mathematics)

description

The goal of this article is to present the relation between some differential formulas, like the Gauss integral for a link, or the integral of the Gaussian curvature on a surface, and topological invariants like the linking number or the Euler characteristic.

https://doi.org/10.1007/978-94-010-0446-6_2