On new characterization of inextensible flows of space-like curves in de Sitter space

DOI10.1515/MATH-2016-0071zbMATH Open1355.53050OpenAlexW2559279327MaRDI QIDQ729690

Mustafa Yeneroğlu

Publication date: 22 December 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0071

zbMATH Keywords

partial differential equationMinkowski spacetimefluid flowde Sitter space \(\mathbb{S}^{3}_{1}\)

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• A new version of inextensible flows of spacelike curves with timelike \(\mathbf B_2\) in Minkowski space-time \(\mathbb E_1^4\)
• Inextensible flows of curves and developable surfaces
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• Shortening space curves and flow through singularities
• Evolving convex curves
• A new method for inextensible flows of timelike curves in Minkowski space-time \(\mathbb E_1^4\)
• Bianchi type-I cosmological models for inextensible flows of biharmonic particles by using curvature tensor field in spacetime
• Curve shortening in a Riemannian manifold
• Proof Nets for Herbrand’s Theorem
• A new method for inextensible flows of timelike curves in 4-dimensional LP-Sasakian manifolds

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