On Timelike Rectifying Slant Helices in Minkowski 3-Space
نویسندگان
چکیده
منابع مشابه
Timelike B 2 -slant Helices in Minkowski Space E 4 1
We consider a unit speed timelike curve α in Minkowski 4-space E41 and denote the Frenet frame of α by {T,N,B1,B2}. We say that α is a generalized helix if one of the unit vector fields of the Frenet frame has constant scalar product with a fixed direction U of E41. In this work we study those helices where the function 〈B2, U〉 is constant and we give different characterizations of such curves....
متن کاملOn slant helices in Minkowski space E 31
We consider a curve α = α(s) in Minkowski 3-space E31 and denote by {T,N,B} the Frenet frame of α. We say that α is a slant helix if there exists a fixed direction U of E31 such that the function 〈N(s), U〉 is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of α. MSC: 53C40, 53C50
متن کاملWeierstrass Representation for Timelike Minimal Surfaces in Minkowski 3-space
Using techniques of integrable systems, we study a Weierstraß representation formula for timelike surfaces with prescribed mean curvature in Minkowski 3-space. It is shown that timelike minimal surfaces are obtained by integrating a pair of Lorentz holomorphic and Lorentz antiholomorphic null curves in Minkowski 3-space. The relationship between timelike minimal surfaces and bosonic Nambu-Goto ...
متن کاملSlant Helices in Euclidean 4-space E
We consider a unit speed curve α in Euclidean four-dimensional space E and denote the Frenet frame by {T,N,B1,B2}. We say that α is a slant helix if its principal normal vector N makes a constant angle with a fixed direction U . In this work we give different characterizations of such curves in terms of their curvatures. MSC: 53C40, 53C50
متن کاملk−type partially null and pseudo null slant helices in Minkowski 4-space
We introduce the notion of a k-type slant helix in Minkowski space E1. For partially null and pseudo null curves in E1, we express some characterizations in terms of their curvature and torsion functions. AMS subject classifications: 53C40, 53C50
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Electronic Journal of Geometry
سال: 2018
ISSN: 1307-5624
DOI: 10.36890/iejg.545073