The Invariants of Dual Parallel Equidistant Ruled Surfaces
نویسندگان
چکیده
In this paper, we calculate the Gaussian curvatures of dual spherical indicatrix curves formed on unit sphere by Blaschke vectors and instantaneous Pfaff parallel equidistant ruled surfaces (DPERS) give relationships between these curvatures. addition to—in cases where base DPERS are closed—computing integral invariants curves. Additionally, show them. Finally, provide an example for each
منابع مشابه
on the integral invariants of kinematically generated ruled surfaces
in this paper, the dual area vector of a closed dual spherical curve is kinematically generatedand the dual steineer vector of a motion are extensively studied by the methods of differential geometry.jacobi’s theorems, known for real curves, are investigated for closed dual curves. the closed trajectorysurfaces generated by an oriented line are fixed in a moving rigid body in ir3 , in which the...
متن کاملfull Seiberg - Witten invariants of ruled surfaces
Let F be a differentiable manifold endowed with an almost Kähler structure (J, ω), α a J-holomorphic action of a compact Lie groupˆK on F , and K a closed normal subgroup ofˆK which leaves ω invariant. The purpose of this article is to introduce gauge theoretical invariants for such triples (F, α, K). The invariants are associated with moduli spaces of solutions of a certain vortex type equatio...
متن کاملGauge Theoretical Equivariant Gromov-witten Invariants and the Full Seiberg-witten Invariants of Ruled Surfaces
Let F be a differentiable manifold endowed with an almost Kähler structure (J, ω), α a J-holomorphic action of a compact Lie groupˆK on F , and K a closed normal subgroup ofˆK which leaves ω invariant. The purpose of this article is to introduce gauge theoretical invariants for such triples (F, α, K). The invariants are associated with moduli spaces of solutions of a certain vortex type equatio...
متن کاملCharacterizations of Slant Ruled Surfaces in the Euclidean 3-space
In this study, we give the relationships between the conical curvatures of ruled surfaces generated by the unit vectors of the ruling, central normal and central tangent of a ruled surface in the Euclidean 3-space E^3. We obtain differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give the conditions for the surfaces generate...
متن کاملDual Space Drawing Methods for Ruled Surfaces with Particular Shapes
Ruled surface design and its applications are widely used in CAGD (Computer Aided Geometric Design) and industrial areas. The hyperbolic paraboloid, the cylinder, the cone, and the hyperboloid are ruled surfaces with particular shapes. In this paper, dual space drawing methods for these particular ruled surfaces are proposed. The underlying principles of these methods are the applications, exte...
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: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15010206