On closed timelike and spacelike ruled surfaces
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4011
Abstract: In this study, by using the concepts and results on spherical curves in dual Lorentzian space, we give the criterions for ruled surfaces with non-lightlike ruling to be closed (periodic). Moreover, we obtain the necessary… read more here.
Keywords: spacelike ruled; ruled surfaces; closed timelike; timelike spacelike ... See more keywords
ACM line bundles on elliptic ruled surfaces
Sign Up to like & getrecommendations! Published in 2018 at "manuscripta mathematica"
DOI: 10.1007/s00229-018-1082-4
Abstract: In this note we classify arithmetically Cohen–Macaulay line bundles on a given complex polarized elliptic ruled surface; for each numerical class, we consider only tensor products with the pullback of a general line bundle on… read more here.
Keywords: elliptic ruled; line; bundles elliptic; line bundles ... See more keywords
Non-lightlike ruled surfaces with constant curvatures in Minkowski 3-space
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887818500688
Abstract: We study the non-lightlike ruled surfaces in Minkowski 3-space with non-lightlike base curve c(s) =∫(αt + βn + γb)ds, where t, n, b are the tangent, principal normal and binormal vectors of an arbitrary timelike… read more here.
Keywords: ruled surfaces; lightlike ruled; minkowski space; non lightlike ... See more keywords
Ruled surfaces generated by elliptic cylindrical curves in the isotropic space
Sign Up to like & getrecommendations! Published in 2017 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2017-0044
Abstract: Abstract In this paper we study the ruled surfaces generated by elliptic cylindrical curves in the isotropic 3-space ???? 3 {\mathbb{I}^{3}} . We classify such surfaces in ???? 3 {\mathbb{I}^{3}} with constant curvature and satisfying… read more here.
Keywords: surfaces generated; generated elliptic; elliptic cylindrical; curves isotropic ... See more keywords
Extension of eigenvalue problems on Gauss map of ruled surfaces
Sign Up to like & getrecommendations! Published in 2018 at "Symmetry"
DOI: 10.20944/preprints201809.0407.v1
Abstract: A finite-type immersion or smooth map is a nice tool to classify submanifolds of Euclidean space, which comes from eigenvalue problem of immersion. The notion of generalized 1-type is a natural generalization of those of… read more here.
Keywords: extension eigenvalue; problems gauss; eigenvalue problems; type ... See more keywords
Tangent bundle of unit 2-sphere and slant ruled surfaces
Sign Up to like & getrecommendations! Published in 2023 at "Filomat"
DOI: 10.2298/fil2302491k
Abstract: In this paper, an isomorphism between unit dual sphere, DS2, and the subset of tangent bundle of unit 2-sphere, T?M, is represented. According to E. Study mapping, a ruled surface in IR3 corresponds to each… read more here.
Keywords: slant ruled; bundle unit; tangent bundle; ruled surfaces ... See more keywords
Classification Theorems of Ruled Surfaces in Minkowski Three-Space
Sign Up to like & getrecommendations! Published in 2018 at "Mathematics"
DOI: 10.3390/math6120318
Abstract: By generalizing the notion of the pointwise 1-type Gauss map, the generalized 1-type Gauss map has been recently introduced. Without any assumption, we classified all possible ruled surfaces with the generalized 1-type Gauss map in… read more here.
Keywords: generalized type; space; type gauss; ruled surfaces ... See more keywords
A Study on the Bertrand Offsets of Timelike Ruled Surfaces in Minkowski 3-Space
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14040783
Abstract: This work extends some classical results of Bertrand curves to timelike ruled and developable surfaces using the E. Study map. This provides support to define two timelike ruled surfaces which are offset in the sense… read more here.
Keywords: ruled surfaces; timelike ruled; bertrand offsets; offsets timelike ... See more keywords
The Characterizations of Parallel q-Equidistant Ruled Surfaces
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14091879
Abstract: In this paper, parallel q-equidistant ruled surfaces are defined such that the binormal vectors of given two differentiable curves are parallel along the striction curves of their corresponding binormal ruled surfaces, and the distance between… read more here.
Keywords: characterizations parallel; equidistant ruled; parallel equidistant; ruled surfaces ... See more keywords
The Invariants of Dual Parallel Equidistant Ruled Surfaces
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15010206
Abstract: In this paper, we calculate the Gaussian curvatures of the dual spherical indicatrix curves formed on unit dual sphere by the Blaschke vectors and dual instantaneous Pfaff vectors of dual parallel equidistant ruled surfaces (DPERS)… read more here.
Keywords: ruled surfaces; parallel equidistant; dual parallel; indicatrix curves ... See more keywords
Timelike Ruled Surfaces with Stationary Disteli-Axis
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15050998
Abstract: This paper derives the declarations for timelike ruled surfaces with stationary timelike Disteli-axis by the E. Study map. This prepares the ability to determine a set of Lorentzian invariants which explain the local shape of… read more here.
Keywords: timelike disteli; ruled surfaces; disteli axis; surfaces stationary ... See more keywords