Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

On the Bertrand Offsets of Timelike Ruled Surfaces in Minkowski 3-Space

View through CrossRef
This work examines some classical results of Bertrand curves for timelike ruled and developable surfaces using the E. Study map. This provides the ability to define two timelike ruled surfaces which are offset in the sense of Bertrand. It is shown that every timelike ruled surface has a Bertrand offset if and only if an equation should be satisfied between the dual geodesic curvatures. Some new results and theorems related to the developability of the Bertrand offsets of timelike ruled surfaces are also obtained.
Title: On the Bertrand Offsets of Timelike Ruled Surfaces in Minkowski 3-Space
Description:
This work examines some classical results of Bertrand curves for timelike ruled and developable surfaces using the E.
Study map.
This provides the ability to define two timelike ruled surfaces which are offset in the sense of Bertrand.
It is shown that every timelike ruled surface has a Bertrand offset if and only if an equation should be satisfied between the dual geodesic curvatures.
Some new results and theorems related to the developability of the Bertrand offsets of timelike ruled surfaces are also obtained.

Related Results

Timelike Bonnet surfaces in the Lorentzian 3-space
Timelike Bonnet surfaces in the Lorentzian 3-space
UDC 519.11 We generalize the criteria proposed by Z. Soyu\c{c}ok in the 3-dimensional Euclidean space to the Lorentz 3-space for the timelike surfaces. With an aid of this criterio...
Seditious Spaces
Seditious Spaces
The title ‘Seditious Spaces’ is derived from one aspect of Britain’s colonial legacy in Malaysia (formerly Malaya): the Sedition Act 1948. While colonial rule may seem like it was ...
Physical Meaning of Euclidean Approach to the Problems of Relativity
Physical Meaning of Euclidean Approach to the Problems of Relativity
INTRODUCTION: In this paper, we discuss the fundamental problem of the relationship between the true and observed shapes of reality. OBJECTIIVES: Considered is the problem if, is ...
A discrete version of the Brunn-Minkowski inequality and its stability
A discrete version of the Brunn-Minkowski inequality and its stability
In the first part of the paper, we define an approximated Brunn-Minkowski inequality which generalizes the classical one for metric measure spaces. Our new definition, based only o...
Space Safety through situational awareness
Space Safety through situational awareness
Space Situational Awareness (SSA) entails the detection, tracking, and comprehension of spaceborne objects and phenomena that could potentially affect Earth or space operations. It...
Analysis of synchronization offsets effect on uplink MIMO-OFDMA systems
Analysis of synchronization offsets effect on uplink MIMO-OFDMA systems
Synchronization offsets such as time (TO), carrier frequency (CFO), and sampling clock frequency (SCFO) offsets, destroy user’s signal orthogonality in Multiple-Input Multiple-Outp...
Is short-offset frequency-domain controlled-source electromagnetic survey using an equatorial configuration a good choice on land?
Is short-offset frequency-domain controlled-source electromagnetic survey using an equatorial configuration a good choice on land?
The frequency-domain controlled-source electromagnetic method can be used to collect data in the large-offset plane-wave zones and the short-offset zone using an axial configuratio...
Towards the construction of regional marine radiocarbon calibration curves: an unsupervised machine learning approach
Towards the construction of regional marine radiocarbon calibration curves: an unsupervised machine learning approach
Radiocarbon may serve as a powerful dating tool in palaeoceanography, but its accuracy is severely limited by the need to calibrate radiocarbon dates to calendar ages. A key proble...

Back to Top