Spectral geometry of Riemannian Legendre foliations

TL;DR

This paper characterizes the geometric properties of isospectral minimal Riemannian Legendre foliations on compact Sasakian manifolds with constant -sectional curvature, linking spectral data to geometric structure.

Contribution

It provides new geometric characterizations of isospectral Legendre foliations on Sasakian manifolds, connecting spectral properties with geometric features.

Findings

Characterization of isospectral minimal Riemannian Legendre foliations

Link between spectral data and geometric structure on Sasakian manifolds

Conditions for -sectional curvature in the context of foliations

Abstract

We obtain geometric characterizations of isospectral minimal Riemannian Legendre foliations on compact Sasakian manifolds of constant $\phi$-sectional curvature.