Isidro H Munive

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RESEARCH FOCUS:

My research is focused on the study of metric spaces with a rich underlying geometry. More precisely, the metric spaces that I consider are sub-Riemannian manifolds, which are spaces where certain directions are preferred. Sub-Riemannian geometry has ramifications in both pure and applied mathematics, namely:

• Analysis of hypoelliptic operators
• Riemannian geometry
• Diffusions on manifolds
• Analysis of hypoelliptic operators
• Cauchy-Riemannian (or CR) geometry

One of my research interests is the potential theory of equations structured on Hörmander vector fields. My research is also focused on the study of volume growth and gradient estimates for Harnack’s inequalities in sub-Riemannian manifolds without the use of Jacobi fields.

PhD ADVISOR:

Prof. Nicola Garofalo