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Yurii F · 2004

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math.AP 1

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2025 1

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CONDITIONAL 1

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Isometric Immersions and Weak Solutions to the Darboux Equation

math.AP · 2025-08-07 · conditional · novelty 7.0

For Holder exponents greater than 1/2, weak C^{1,theta} solutions of the Darboux equation are equivalent to C^{1,theta} isometric immersions, via a new distributional Gaussian curvature and flatness criterion.

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  • Isometric Immersions and Weak Solutions to the Darboux Equation math.AP · 2025-08-07 · conditional · none · ref 4

    For Holder exponents greater than 1/2, weak C^{1,theta} solutions of the Darboux equation are equivalent to C^{1,theta} isometric immersions, via a new distributional Gaussian curvature and flatness criterion.