In the present work, we focused on studying the evolution of null Cartan and pseudo null curves using the Bishop frame in Minkowski space $ \mathbb{R}^{2, 1} $. We obtained the necessary and sufficient conditions for the null Cartan and pseudo null curves to be inextensible curves (the arc length is preserved).
Samah Gaber, Abeer Al Elaiw
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Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation. [PDF]
Barbaresco F.
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In this paper, we introduce generalized Darboux frames of the first and the second kind along a null Cartan curve lying on a timelike surface in Minkowski space ${E}^{3}_{1}$ and define null Cartan rectifying isophotic and rectifying silhouette curves in terms of the vector field that belongs to generalized Darboux frame of the first kind ...
Milica Grbović ćirić +2 more
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Quantum Chaos in the Dynamics of Molecules. [PDF]
Takatsuka K.
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Soft Electronics for Health Monitoring Assisted by Machine Learning. [PDF]
Qiao Y +13 more
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Gauge Theory on Projective Surfaces and Anti-self-dual Einstein Metrics in Dimension Four. [PDF]
Dunajski M, Mettler T.
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Dispersive lensing and shadows in RN-AdS spacetimes with dark energy and plasma: theory and observational constraints. [PDF]
Pradhan A, Ghaderi K, Zeyauddin M.
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Time Series Correlations and Kolmogorov Complexity: A Hausdorff Dimension Perspective. [PDF]
Hamzi B +4 more
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Non-Geodesic Incompleteness in Poincaré Gauge Gravity. [PDF]
Cembranos JAR +2 more
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Investigating slant curves within Lorentzian doubly warped product manifolds. [PDF]
Elsharkawy A +3 more
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