Panagiotis Gianniotis

activity

20122025

G_{2}

structures

17 citations · 37 across the 8 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.DG2025

$L^{1}$ curvature bounds for Type I Ricci flows

Panagiotis Gianniotis, Konstantinos Leskas

We show $L^{1}$ -bounds of the Riemann curvature tensor on a smooth closed $n$ -dimensional Ricci flow. To achieve this we introduce the notion of a neck of maximal symmetry, similar t…

math.DG2025

Diameter bounds in 3d Type I Ricci flows

Panagiotis Gianniotis

We prove that a three dimensional compact Ricci flow that encounters a Type I singularity has uniformly bounded diameter up to the singular time, thus giving an affirmative answer…

math.DG2025

A $G_{2}$ -Hilbert functional in $G_{2}$ -geometry

Panagiotis Gianniotis, George Zacharopoulos

In this paper we introduce a new functional on the space of $G_{2}$ -structures which we call the $G_{2}$ -Hilbert functional. It is uniquely determined by a few basic principles inspire…

L1 curvature bounds for Type I Ricci flows

Diameter bounds in 3d Type I Ricci flows

A G2​-Hilbert functional in G2​-geometry

$L^{1}$ curvature bounds for Type I Ricci flows

A $G_{2}$ -Hilbert functional in $G_{2}$ -geometry