Differential Geometry: Curves - Surfaces - Manifolds

By W. Kühnel. 2002

541 citations recorded by the source corpus.

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Constant angle surfaces in Minkowski space (2009, background): “The Frenet Serret frame of γ at each point s associates an orthonormal basis {T(s),N(s),B(s)}, where B(s) = T(s)×N(s) is called the binormal vector ([6, 8]).”
Stream function formulation of surface Stokes equations (2018, background): “, one does not use the embedding of a surface in an ambient space [11, 24].”
Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration (2009, methodology): “…a theoretical bound on the approximation error and demonstrate empirically that iterative smoothing provides a good approximation of spherical vector spline interpolation for a relatively uniform distribution of points corresponding to those of the subdivided icosahedron meshes used in this work.”
Differential Geometry and Lie Groups (2020, methodology): “We also relied heavily on Gallot, Hulin and Lafontaine [49] (Chapter 2), Do Carmo [39], O’Neill [91], Kuhnel [71], and class notes by Pierre Pansu (see http://www.”
From Golden Spirals to Constant Slope Surfaces (2009, background): “A more general notion is the slope line also called generalized helix (see [10]).”