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August 17, 2025Open Access

Some minimal hypersurfaces in the ($n+1$)-space with $2m$-norm

Makoto Sakaki Ryota Tanaka

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Key Points

Translation minimal hypersurfaces exhibit unique geometric properties, enhancing our understanding of minimal surfaces.
The study includes separable minimal hypersurfaces analyzed within the framework of the 2m-norm.
Analysis of these hypersurfaces reveals relationships between their geometric characteristics and underlying mathematical structures.
This work may enable further exploration of minimal surfaces and their applications in geometry and physics.

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Implication

This research shows minimal hypersurfaces with distinct properties in n+1-space, suggesting potential new insights in geometry.

Abstract

We study translation minimal hypersurfaces and separable minimal hypersurfaces in the ($n+1$)-space with $2m$-norm.

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Cite This Study

Sakaki et al. (2025) studied this question.

synapsesocial.com/papers/68d913a34ddcf71ba560b997 https://doi.org/10.48550/arxiv.2508.12528

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