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This is a Quantitative Study study.

October 20, 2025Open Access

A geometric perspective on the inextensible flows and energy of curves in 4-dimensional pseudo-Galilean space

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Authors

FAFatma AlmazBatman University HÖHandan ÖztekinFırat University

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Implication

This analysis defines inextensible flows using directional derivatives in pseudo-Galilean space, indicating conditions through differential equations.

Key Points

Inextensible flows of curves are characterized as partial differential equations in four-dimensional space, showing their mathematical relations.
Key conditions for these flows are established using the Serret-Frenet frame, providing a geometric perspective.
Directional derivatives are defined in accordance with the Serret-Frenet frame, linking curvature and flow behavior in the space.
Bending elastic energy functions are derived for curves, enhancing understanding of energy transformations in the four-dimensional context.

Cite This Study

Almaz et al. (2025) studied this question.

synapsesocial.com/papers/68f5fcce8d54a28a75cf1b4e https://doi.org/10.48550/arxiv.2509.24036

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Implication

This analysis defines inextensible flows using directional derivatives in pseudo-Galilean space, indicating conditions through differential equations.

A geometric perspective on the inextensible flows and energy of curves in 4-dimensional pseudo-Galilean space

Discussion

Member takes

Implication

Key Points

Cite This Study

A geometric perspective on the inextensible flows and energy of curves in 4-dimensional pseudo-Galilean space

Discussion

Member takes

Implication

Key Points

Cite This Study

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