N. S. Aiex

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20162026

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math.DG2024

A Curvature Varifold Whose Weak Second Fundamental Form is Not Preserved Under Decompositions

Nicolau S. Aiex

We construct a curvature varifold that does not admit a decomposition whose components are curvature varifolds.

math.DG2024

A Corrected Proof of the Graphical Representation of a Class of Curvature Varifolds by $C^{1, α}$ Multiple Valued Functions

Nicolau S. Aiex

We provide a counter-example to Hutchinson's original proof of $C^{1, α}$ representation of curvature $m$ -varifolds with $L^{q}$ -integrable second fundamental form and $q > m$ in [6]. W…

A Curvature Varifold Whose Weak Second Fundamental Form is Not Preserved Under Decompositions

A Corrected Proof of the Graphical Representation of a Class of Curvature Varifolds by C1,α Multiple Valued Functions

A Corrected Proof of the Graphical Representation of a Class of Curvature Varifolds by $C^{1, α}$ Multiple Valued Functions