Topics in Differential Geometry and its Discretizations
نویسنده
چکیده
Continuing from the previous talk by Masashi Yasumoto, we will consider how to discretize a more general class of surfaces, including those that do not have Weierstrass-type representations. We will see how general discrete linear Weingarten surfaces can be defined using constant conserved quantities of associated flat connections as a tool. Then, since smooth linear Weingarten surfaces typically have singularities (such as cuspidal edges, swallowtails, cuspidal cross-caps, etc), we will examine how to define corresponding singularities in the discretized case.
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