New Parametrization of Bertrand Partner D-curves in $\mathbb{E}^{3}$

Stuti  Tamta; RAM SHANKAR GUPTA

doi:10.5269/bspm.63309

Stuti Tamta Guru Gobind Singh Indraprastha University https://orcid.org/0000-0002-9432-1037
RAM SHANKAR GUPTA Guru Gobind Singh Indraprastha University https://orcid.org/0000-0003-0985-3280

Resumo

We define and study a new parametrization of a Bertrand partner D-curve \{$\alpha$,$\alpha^{*}$\} in Euclidean 3-space by not taking Darboux frame element $g^{*}$ of Bertrand partner D-curve $\alpha^{*}$ parallel to $\overrightarrow{\alpha \alpha^{*}}$. We obtain a necessary and sufficient condition for a curve to be such type of Bertrand D-curves. Also, we obtain a characterization of a new parametrization of asymptotic Bertrand D-curves and provide an example.

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Biografia do Autor

Stuti Tamta, Guru Gobind Singh Indraprastha University

Research Scholar, University School of Basic and Applied Sciences, sector-16C, Dwarka, New Delhi-110078 India.

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