ON NON-DEVELOPABLE RULED SURFACES IN LORENTZ-MINKOWSKI 3-SPACES
نویسندگان
چکیده
منابع مشابه
On Non-developable Ruled Surfaces in Lorentz-minkowski 3-spaces
In this paper, we classify ruled surfaces in Lorentz-Minkowski 3-spaces satisfying some algebraic equations in terms of the second Gaussian curvature, the mean curvature and the Gaussian curvature.
متن کاملRuled Surfaces in Lorentz-minkowski 3-spaces with Non-degenerate Second Fundamental Form
In this paper, we study some properties of ruled surfaces with non-degenerate second fundamental form in a 3-dimensional LorentzMinkowski space related to its the Gaussian curvature, the second Gaussian curvature and the mean curvature.
متن کاملNon-developable Ruled Surfaces with Timelike Ruling in Minkowski 3-space
In this paper, using pseudo-spherical Frenet frame of pseudospherical curves in hyperbolic space, we define the notion of the structure functions on the non-developable ruled surfaces with timelike ruling. Then we obtain the properties of the structure functions and a complete classification of the non-developable ruled surfaces with timelike ruling in Minkowski 3-space by the theories of the s...
متن کاملRuled W - Surfaces in Minkowski 3 - Space
In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set {K, KII , H, HII}, where (K,H) and (KII , HII) are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
متن کاملNonorientable maximal surfaces in the Lorentz-Minkowski 3-space
The geometry and topology of complete nonorientable maximal surfaces with lightlike singularities in the Lorentz-Minkowski 3-space is studied. Some topological congruence formulae for surfaces of this kind are obtained. As a consequence, some existence and uniqueness results for maximal Möbius strips and maximal Klein bottles with one end are proved.
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: Taiwanese Journal of Mathematics
سال: 2007
ISSN: 1027-5487
DOI: 10.11650/twjm/1500404646