On the invariants of Mannheim offsets of timelike ruled surfaces with spacelike rulings

DOI10.1142/S1793557115500096zbMath1312.53015arXiv1007.2041OpenAlexW2109906289WikidataQ125704906 ScholiaQ125704906MaRDI QIDQ5247074

H. Hüseyin Uǧurlu, Mehmet Önder

Publication date: 22 April 2015

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2041

zbMATH Keywords

integral invariantsMannheim offsetdual Lorentzian spacetime-like ruled surface

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Differential line geometry (53A25)

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Cites Work

• Unnamed Item
• Classification of ruled surfaces in Minkowski 3-spaces
• On the integral invariants of a closed ruled surface
• Bertrand offsets of ruled and developable surfaces
• The approximation of non-degenerate offset surfaces
• On the invariants of trajectory surfaces
• Ruled surfaces with time like rulings.
• On the invariants of Bertrand trajectory surface offsets
• On the developable time-like trajectory ruled surfaces in a Lorentz 3-space \(\mathbb R^{3}_1\)
• On the developable Mannheim offsets of timelike ruled surfaces
• Mannheim partner curves in 3-space
• The pitch and the angle of pitch of a closed piece of ruled surface in R_1^3
• On Time-Like Line Congruences and Dual Spherical Areas on Lorentzian Spheres
• The E. Study Maps of Circles on Dual Hyperbolic and Lorentzian Unit Spheres <i>H</i>²₀ and <i>S</i>²₁