Luciano L. Junior

collaborators

2 papers

math.DG2026

Balanced metrics, Zoll deformations and isosystolic inequalities in $C P^{n}$

Luciano L. Junior

The k-systole of a Riemannian manifold is the infimum of the volume over all homologically non-trivial k-cycles. In this paper we discuss the behavior of the dimension two and co-d…

math.DG2025

Isosystolic Inequalities for Holomorphic Chains in $C P^{n}$

Luciano L. Junior

We introduce the \emph{holomorphic $k$ -systole} of a Hermitian metric on $C P^{n}$ , defined as the infimum of areas of homologically non-trivial holomorphic $k$ -chains. Our m…

Balanced metrics, Zoll deformations and isosystolic inequalities in CPn

Isosystolic Inequalities for Holomorphic Chains in CPn

Balanced metrics, Zoll deformations and isosystolic inequalities in $C P^{n}$

Isosystolic Inequalities for Holomorphic Chains in $C P^{n}$