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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： The category BC in terms of the Fargues–Fontaine curve
法格-枫丹曲线 BC类别 [LB18， §5-7]
2023/5/6
Cover [LB18, §5-7]. Explain the key results and ideas clearly.
Spherical Indicatrices of Involute of a Space Curve in Euclidean 3-Space
Involute curve Evolute curve Helix, Slant helix Spherical indicatrix
2012/4/16
In this work, we studied the properties of the spherical indicatrices of involute curve of a space curve and presented some characteristic properties in the cases that involute curve and evolute curve...
Sub-Riemannian structures corresponding to K鋒lerian metrics on the universal Teichmueller space and curve
Teichmuller space group of diffeomorphisms Lie-Frechet group Virasoro-Bott group Virasoro algebra sub-Riemannian geometry
2012/2/29
We consider the group of sense-preserving diffeomorphisms $\Diff S^1$ of the unit circle and its central extension, the Virasoro-Bott group, with their respective horizontal distributions chosen to be...
Curve Reconstruction in Riemannian Manifolds: Ordering Motion Frames
Curve Reconstruction Riemannian Manifolds Ordering Motion Frames
2011/3/3
In this article we extend the computational geometric curve reconstruction approach to curves in Riemannian manifolds.We prove that the minimal spanning tree, given a sufficiently dense sample set of ...
<正> Su has recently established the projective theory of space curvesby a purely geometrical method and has shown among other thingsthat the projective invariants of a curve can simply be expressed by...
The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
elliptic curve S-duality theory Eisenstein series Kac-Moody groups
2010/10/29
We establish a relation between the generating functions appearing in the S-duality conjecture of Vafa and Witten and geometric Eisenstein series for Kac-Moody groups. For a pair consisting of a surfa...