<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The expression of the structure equation of a mechanism is significant to present the last position of the mechanism. Moreover, in order to attain the constraint manifold of a chain, we need to constitute the structure equation. In this paper, we determine the structure equations and the constraint manifolds of a spherical open-chain in the Lorentz space. The structure equations of spherical open chain with reference to the causal character of the first link are obtained. Later, the constraint manifolds of the mechanism are determined by means of these equations. The geometric constructions corresponding to these manifolds are studied.</p></abstract>

The expression of the structure equation of a mechanism is significant to present the last position of the mechanism. Moreover, in order to attain the constraint manifold of a chain, we need to constitute the structure equation. In this paper, we determine the structure equations and the constraint manifolds of a spherical open-chain in the Lorentz space. The structure equations of spherical open chain with reference to the causal character of the first link are obtained. Later, the constraint manifolds of the mechanism are determined by means of these equations. The geometric constructions corresponding to these manifolds are studied.

On Constraint Manifolds of Lorentz Sphere

Department of Mathematics, Faculty of Science and Arts

Department of Mathematics, Faculty of Science

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On Constraint Manifolds of Lorentz Sphere"}

The expression of the structure equation of a mechanism is significant to present the last position of the mechanism. Moreover, in order to attain the...

On Constraint Manifolds of Lorentz Sphere

Published Online: Sep 22, 2020

Page range: 15 - 34

Received: Sep 18, 2019

Accepted: Dec 15, 2019

DOI: https://doi.org/10.2478/auom-2020-0017

Keywords
Spherical open chain, Constraint manifold, Structure equation, Split quaternion

© 2020 Buşra Aktaş et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Constraint Manifolds of Lorentz Sphere

Published Online: Sep 22, 2020

Page range: 15 - 34

Received: Sep 18, 2019

Accepted: Dec 15, 2019

DOI: https://doi.org/10.2478/auom-2020-0017

KeywordsSpherical open chain, Constraint manifold, Structure equation, Split quaternion

© 2020 Buşra Aktaş et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Spherical open chain, Constraint manifold, Structure equation, Split quaternion