S. Nardulli

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20242026

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math.DG2026

Simons formulas in complex space forms and product spaces

Dorel Fetcu, Stefano Nardulli

We compute Simons type equations for parallel mean curvature submanifolds in complex space forms N^n(c), with constant holomorphic sectional curvature c, and product spaces N^n(c)x…

math.DG2026

Allard's interior $ε$ -Regularity Theorem in Alexandrov spaces

Marcos Agnoletto, Julio C. Correa Hoyos, MÃ¡rcio Fabiano da Silva +1

In this paper, we prove Allard's Interior $ε$ -Regularity Theorem for $m$ -dimensional varifolds with generalized mean curvature in $L_{l oc}^{p}$ , $p > m$ , in non-collapsed A…

math.DG2026

Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature

Gioacchino Antonelli, Mattia Fogagnolo, Stefano Nardulli +1

This paper deals with quasi-local isoperimetric versions of the positive mass theorem on $3$ -manifolds endowed with continuous complete metrics having nonnegative scalar curvature…

Simons formulas in complex space forms and product spaces

Allard's interior ε-Regularity Theorem in Alexandrov spaces

Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature

Allard's interior $ε$ -Regularity Theorem in Alexandrov spaces