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f-Eikonal helix submanifolds and f-Eikonal helix curves
Helix submanifold Eikonal function Helix line
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
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...
Non-Null Weakened Mannheim curves
Mannheim Cuves Frenet-Mannheim Curves Weakened-Mannheim Curves
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
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...
On Pseudohyperbolical Curves in Minkowski Space-Time
Minkowski space--time pseudohyperbolic space curvature
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...
专著信息
书名
Elliptic Gromov-Witten invariants of blowups along curves and surfaces
语种
英文
撰写或编译
作者
胡建勋,张后扬
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出版社
Internat. J. Math. Math. Sci. 接收发表
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相关项目
Gromov-Witten...
Some Characterizations of Rectifying Curves in the Euclidean Space E4
Rectifying curve Frenet equations curvature
2010/2/25
In this paper, we define a rectifying curve in the Euclidean 4-space as a curve whose position vector always lies in orthogonal complement N\perp of its principal normal vector field N. In particular,...