搜索结果: 1-15 共查到“几何学 curves”相关记录23条 . 查询时间(0.125 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:On the Riemann-Hilbert problem of confluent hypergeometric systems and Seiberg-Witten curves
超几何系统 塞伯格-维滕曲线 黎曼-希尔伯特问题
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2023/4/21
ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES
ELLIPTIC CURVES ARITHMETIC
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2015/7/6
Deligne and Rapoport developed the theory of generalized elliptic curves over
arbitrary schemes and they proved that various moduli stacks for (ample) “level-N” structures on generalized
elliptic cu...
f-Eikonal helix submanifolds and f-Eikonal helix curves
Helix submanifold Eikonal function Helix line
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2012/6/15
Let M{\subset}\mathbb{R}^{n} be a Riemannian helix submanifold with respect to the unit direction d{\in}\mathbb{R}^{n} and f:M{\to}\mathbb{R} be a eikonal function. We say that M is a f-eikonal helix ...
A Tale of Two Arc Lengths: Metric notions for curves in surfaces in equiaffine space
anne curve anne arc length anne surface anne first fundamental form
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2012/5/9
In Euclidean geometry, all metric notions (arc length for curves, the first fundamental form for surfaces, etc.) are derived from the Euclidean inner product on tangent vectors, and this inner product...
Triangles on planar Jordan $C^1$-curves
Triangles planar Jordan $C^1$-curves Metric Geometry
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2012/5/9
We prove that a Jordan $\calc^1$-curve in the plane contains any non-flat triangle up to translation and homothety with positive ratio. This is false if the curve is not $C^1$. The proof uses a bit co...
Non-Null Weakened Mannheim curves
Mannheim Cuves Frenet-Mannheim Curves Weakened-Mannheim Curves
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2012/4/16
In this study, non-null Frenet-Mannheim curves and non-null Weakened Mannheim curves are investigated in Minkowski 3-space. Some characterizations for this curves are obtained.
Calabi-Yau Problem for Legendrian curves in C^3 and applications
Calabi-Yau Problem Legendrian curves C^3 and applications
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2011/8/22
Abstract: We construct a complete, bounded Legendrian immersion in C^3. As direct applications of it, we show the first examples of a weakly complete bounded flat front in hyperbolic 3-space, a weakly...
The complex AGM, periods of elliptic curves over C and complex elliptic logarithms
The complex AGM elliptic curves complex elliptic logarithms
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2010/11/9
We present a method for computing period lattices and elliptic logarithms for elliptic curves defined over C, using the complex Arithmetic-Geometric Mean (AGM) first studied by Gauss. Earlier authors ...
Lectures on Holomorphic Curves in Symplectic and Contact Geometry
Holomorphic Curves Symplectic Contact Geometry
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2010/11/12
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incom...
Some (non-)elimination results for curves in geometric structures
Some (non-)elimination results curves geometric structures
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2010/11/17
Chevaley-Tarski theorem insures that the projection of a constructible set of $\C ^n$ is also a constructible set. In this note we prove that the projection of a finite boolean combination of algebra...
A short note on vector bundles on curves
vector bundles curves
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2010/12/9
In [BL94] Beauville and Laszlo give an interpretation of the affine Grassmannian for Gln over a field k as a moduli space of, loosely speak-ing, vector bundles over a projective curve together with a ...
Evolution of plane curves with a curvature adjusted tangential velocity
curvature driven flow of plane curves curvature adjusted tangential velocity
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2010/12/6
We study evolution of closed embedded plane curves with the normal veloc-ity depending on the curvature, the orientation and position of a curve. We propose a new method of tangential redistribution o...
Notes on projective normality of reducible curves
projective normality reducible curves
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2010/12/13
We give some results on quadratic normality of reducible curves canonically embedded and partially extend this study to their projective normality.
On Pseudohyperbolical Curves in Minkowski Space-Time
Minkowski space--time pseudohyperbolic space curvature
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2010/3/1
In this paper, we characterize all spacelike, timelike and null curves lying on the pseudohyperbolic space H03 in the Minkowski space--time E14. Moreover, we prove that there are no timelike and no nu...
NOTE ON THE PROJECTIVE DIFFERENTIAL GEOMETRY OF SPACE CURVES
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2007/12/13
<正> INTRODUGTION.1.In the proiective theory of a curve in ordinary space thereare introduced various systems of tetrahedrons associated to a pointof the curve.Most of them are,more or less,artificial ...