Curvature and torsion dependent energy of elastica and nonelastica for a lightlike curve in the Minkowski space
UDC 515.1 We firstly describe conditions for being elastica or nonelastica for a lightlike elastic Cartan curve in the Minkowski space $\mathbb{E}_{1}^{4}$ by using the Bishop orthonormal vector frame and associated Bishop components.  Then we compute the energy of the ligh...
Saved in:
| Date: | 2020 |
|---|---|
| Main Authors: | Körpinar, T., Demirkol, R. C. |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2020
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/847 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Curvature and torsion dependent energy of elastica and nonelastica for a lightlike curve in the Minkowski space
by: T. Kцrpinar, et al.
Published: (2020)
by: T. Kцrpinar, et al.
Published: (2020)
On the total curvature of curves in nonsymmetric Minkowski spaces
by: A. A. Borisenko, et al.
Published: (2014)
by: A. A. Borisenko, et al.
Published: (2014)
Slant lightlike submersions from an indefinite almost Hermitian manifold onto a lightlike manifold
by: R. Sachdeva, et al.
Published: (2016)
by: R. Sachdeva, et al.
Published: (2016)
Slant lightlike submersions from an indefinite almost Hermitian manifold onto a lightlike manifold
by: Bhatia, S. S., et al.
Published: (2016)
by: Bhatia, S. S., et al.
Published: (2016)
Torsion Obstructions to Positive Scalar Curvature
by: Gromov, Misha, et al.
Published: (2024)
by: Gromov, Misha, et al.
Published: (2024)
Generalized Symmetries of Massless Free Fields on Minkowski Space
by: Pohjanpelto, J., et al.
Published: (2008)
by: Pohjanpelto, J., et al.
Published: (2008)
Geometric characteristics of quantum evolution: curvature and torsion
by: Laba, H.P., et al.
Published: (2017)
by: Laba, H.P., et al.
Published: (2017)
Two-dimensional nonisotropic surfaces with flat normal connection and a nondegenerate Grassmann image of constant curvature in the Minkowski space
by: P. Stegantseva, et al.
Published: (2024)
by: P. Stegantseva, et al.
Published: (2024)
Two-dimensional nonisotropic surfaces with flat normal connection and a nondegenerate Grassmann image of constant curvature in the Minkowski space
by: Stegantseva, P., et al.
Published: (2024)
by: Stegantseva, P., et al.
Published: (2024)
Notes on the lightlike hypersurfaces along spacelike submanifolds
by: G. Tuğ, et al.
Published: (2019)
by: G. Tuğ, et al.
Published: (2019)
Notes on the lightlike hypersurfaces along spacelike submanifolds
by: Ekmekci, F. N., et al.
Published: (2019)
by: Ekmekci, F. N., et al.
Published: (2019)
Space-like surfaces in Minkowski space E1 4 with pointwise 1-type Gauss map
by: U. Dursun, et al.
Published: (2019)
by: U. Dursun, et al.
Published: (2019)
Ruled Surfaces in E⁴ with Constant Ratio of the Gaussian Curvature and Gaussian Torsion
by: Goncharova, O.A.
Published: (2008)
by: Goncharova, O.A.
Published: (2008)
Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature
by: Rajaratnam, K., et al.
Published: (2016)
by: Rajaratnam, K., et al.
Published: (2016)
Space-like surfaces in Minkowski space $E^4_1$ with pointwise 1-type Gauss map
by: Dursun, U., et al.
Published: (2019)
by: Dursun, U., et al.
Published: (2019)
Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space
by: M. Dede, et al.
Published: (2018)
by: M. Dede, et al.
Published: (2018)
Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space
by: Dede, M., et al.
Published: (2018)
by: Dede, M., et al.
Published: (2018)
The Causal Action in Minkowski Space and Surface Layer Integrals
by: Finster, Felix
Published: (2020)
by: Finster, Felix
Published: (2020)
On some discretization of Yang-Mills equations in Minkowski space
by: Sushch, V.
Published: (2003)
by: Sushch, V.
Published: (2003)
Cohomogeneity One Dynamics on Three Dimensional Minkowski Space
by: P. Ahmadi
Published: (2019)
by: P. Ahmadi
Published: (2019)
Torsion of an elastic space with axisymmetric narrow cavity
by: V. S. Kravets, et al.
Published: (2012)
by: V. S. Kravets, et al.
Published: (2012)
The effect of the curvature induced anisotropy on the spectrum of spin waves in curved magnetic nanowires
by: V. S. Tkachenko, et al.
Published: (2013)
by: V. S. Tkachenko, et al.
Published: (2013)
On Stability of a Unit Ball in Minkowski Space with Respect to Self-Area
by: A. I. Shcherba
Published: (2011)
by: A. I. Shcherba
Published: (2011)
On Stability of a Unit Ball in Minkowski Space with Respect to Self-Area
by: Shcherba, A.I.
Published: (2011)
by: Shcherba, A.I.
Published: (2011)
Hyperkähler Manifolds of Curves in Twistor Spaces
by: Bielawski, R.
Published: (2014)
by: Bielawski, R.
Published: (2014)
Dihedral Group, 4-Torsion on an Elliptic Curve, and a Peculiar Eigenform Modulo 4
by: Kiming, I., et al.
Published: (2018)
by: Kiming, I., et al.
Published: (2018)
Constructing the external contour of the frankl nozzle using s-shaped curves with quadratic distribution of the curvature
by: P. I. Stetsiuk, et al.
Published: (2020)
by: P. I. Stetsiuk, et al.
Published: (2020)
On Relativistic Charged Particle Radiation in a Curved Magnetic Field: Undulator- Curvature Radiation
by: Sobolev, Ya. M.
Published: (2012)
by: Sobolev, Ya. M.
Published: (2012)
The dual affine log-Minkowski inequality
by: Zhao, Chang-Jian, et al.
Published: (2026)
by: Zhao, Chang-Jian, et al.
Published: (2026)
Study of side wear of the rail head in curved sections of the track with especially small radii of curvature
by: V. V. Govorukha, et al.
Published: (2019)
by: V. V. Govorukha, et al.
Published: (2019)
Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces
by: Kitaoka, Akira
Published: (2022)
by: Kitaoka, Akira
Published: (2022)
κ-Deformations and extended κ-Minkowski spacetimes
by: Borowiec, A., et al.
Published: (2014)
by: Borowiec, A., et al.
Published: (2014)
On One Minkowski–Radon Problem and Its Generalizations
by: Vit. V. Volchkov, et al.
Published: (2014)
by: Vit. V. Volchkov, et al.
Published: (2014)
On One Minkowski–Radon Problem and Its Generalizations
by: Volchkov, V. V., et al.
Published: (2014)
by: Volchkov, V. V., et al.
Published: (2014)
Local Rigidity of Convex Hypersurfaces in Spaces of Constant Curvature
by: Borisenko, Alexander A.
Published: (2026)
by: Borisenko, Alexander A.
Published: (2026)
Universal multipoint invariants and geometry of constant curvature spaces
by: D. O. Dziakovych
Published: (2017)
by: D. O. Dziakovych
Published: (2017)
Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature
by: Ragnisco, O., et al.
Published: (2007)
by: Ragnisco, O., et al.
Published: (2007)
On an invariant on isometric immersions into spaces of constant sectional curvature
by: Rivertz, H. J., et al.
Published: (2009)
by: Rivertz, H. J., et al.
Published: (2009)
Classification of the Orthogonal Separable Webs for the Hamilton-Jacobi and Klein-Gordon Equations on 3-Dimensional Minkowski Space
by: Valero, Carlos, et al.
Published: (2022)
by: Valero, Carlos, et al.
Published: (2022)
Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature
by: Herranz, F.J., et al.
Published: (2006)
by: Herranz, F.J., et al.
Published: (2006)
Similar Items
-
Curvature and torsion dependent energy of elastica and nonelastica for a lightlike curve in the Minkowski space
by: T. Kцrpinar, et al.
Published: (2020) -
On the total curvature of curves in nonsymmetric Minkowski spaces
by: A. A. Borisenko, et al.
Published: (2014) -
Slant lightlike submersions from an indefinite almost Hermitian manifold onto a lightlike manifold
by: R. Sachdeva, et al.
Published: (2016) -
Slant lightlike submersions from an indefinite almost Hermitian manifold onto a lightlike manifold
by: Bhatia, S. S., et al.
Published: (2016) -
Torsion Obstructions to Positive Scalar Curvature
by: Gromov, Misha, et al.
Published: (2024)