On the integral invariants of a closed ruled surface

DOI10.1007/BF01222141zbMath0723.53046OpenAlexW2312611605MaRDI QIDQ756730

Osman Gürsoy

Publication date: 1990

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01222141

zbMATH Keywords

ruled surfaceGauss-Bonnet theoremgeodesic curvaturesurface areaangle of pitchHolditch Theorem

Mathematics Subject Classification ID

Integral geometry (53C65) Differential line geometry (53A25)

Related Items (10)

Curves and ruled surfaces according to alternative frame in dual space ⋮ Ruled surfaces generated by some special curves in Euclidean 3-space ⋮ Unnamed Item ⋮ On closed timelike and spacelike ruled surfaces ⋮ Unnamed Item ⋮ The new characterization of ruled surfaces corresponding dual Bézier curves ⋮ The integral invariants of parallel timelike ruled surfaces ⋮ Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces ⋮ On the invariants of Bertrand trajectory surface offsets ⋮ On the invariants of Mannheim offsets of timelike ruled surfaces with spacelike rulings

Cites Work

• Unnamed Item
• Eine Verallgemeinerung des Satzes von Holditch
• Integralinvarianten von Regelflächen
• Über geschlossene Bewegungsvorgänge

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