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Explicit Minimal Surface Models in $\mathbb{R}^5$ via Holomorphic Null Curves

math.DG · 2026-04-20 · unverdicted · novelty 6.0

Explicit conformal minimal immersions into R^5 are derived from holomorphic null curves in C^5 via a Weierstrass-type representation depending on one holomorphic seed function and two real parameters, with closed-form expressions for the immersion and induced metric.

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  • Explicit Minimal Surface Models in $\mathbb{R}^5$ via Holomorphic Null Curves math.DG · 2026-04-20 · unverdicted · none · ref 15

    Explicit conformal minimal immersions into R^5 are derived from holomorphic null curves in C^5 via a Weierstrass-type representation depending on one holomorphic seed function and two real parameters, with closed-form expressions for the immersion and induced metric.