On the existence of Bertrand pairs

DOI10.1007/S13366-011-0032-ZzbMath1242.53005OpenAlexW2002205436MaRDI QIDQ664197

Brigitte Wegner, Francisco José Craveiro de Carvalho, Ana M. R. Azevedo Breda

Publication date: 29 February 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/11464

zbMATH Keywords

Frenet-Serret frameBertrand matescurves in Euclidean spaces

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Differential invariants (local theory), geometric objects (53A55) Geometries with algebraic manifold structure (51H30)

Cites Work

• Self-parallel and transnormal curves
• Self-parallel curves.
• Transnormal Circles
• Diametrical submanifolds
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