Dr. Robert Hladky

Dr. Robert (Rob) Hladky
Office: Minard 412F CV
Phone: 701.231.8111
Email: robert.hladky@ndsu.edu

Research Interests

Global geometry of sub-Riemannian manifolds

The minimal surface and isoperimetric problems in the sub-Riemannian setting

CR and pseudohermitian manifolds in several complex variables: the tangential Cauchy-Riemann equations

Recent Preprints

Isometries of complemented subRiemannian manifolds
Variation of Perimeter Measure in sub-Riemannian geometry (with Scott Pauls)

Papers

Bounds for the first eigenvalue of the horizontal Laplacian in positively curved sub-Riemannian manifolds, Geometrae Dedicata, 2012, DOI 10.1007/s10711-012-9766-5
Connections and Curvature in sub-Riemannian geometry. Houston J. Math (to appear)
Minimal surfaces in the roto-translation group with applications to a neurobiological image completion model (with Scott Pauls), JMIV 36 (2010) no. 1, 1-27

The \bar{\partial}_b Neumann problem on noncharacteristic domains, Pacific J. Math. 242 (2009) no.1, 71-112
Constant mean curvature surfaces in sub-Riemannian geometry (with Scott Pauls) J. Diff. Geom. 79 (2008) no.1, 111-139

Boundary Regularity for the $\bar{\partial}_b$-Neumann problem, 1. J. Geom. Anal. 16 (2006) no. 1, 117-153

Boundary Regularity for the $\bar{\partial}_b$-Neumann problem, 2. J. Geom. Anal. 16 (2006) no. 2, 295-318

Research Interests	Global geometry of sub-Riemannian manifolds The minimal surface and isoperimetric problems in the sub-Riemannian setting CR and pseudohermitian manifolds in several complex variables: the tangential Cauchy-Riemann equations
Recent Preprints	Isometries of complemented subRiemannian manifolds Variation of Perimeter Measure in sub-Riemannian geometry (with Scott Pauls)
Papers	Bounds for the first eigenvalue of the horizontal Laplacian in positively curved sub-Riemannian manifolds, Geometrae Dedicata, 2012, DOI 10.1007/s10711-012-9766-5 Connections and Curvature in sub-Riemannian geometry. Houston J. Math (to appear) Minimal surfaces in the roto-translation group with applications to a neurobiological image completion model (with Scott Pauls), JMIV 36 (2010) no. 1, 1-27 The \bar{\partial}_b Neumann problem on noncharacteristic domains, Pacific J. Math. 242 (2009) no.1, 71-112 Constant mean curvature surfaces in sub-Riemannian geometry (with Scott Pauls) J. Diff. Geom. 79 (2008) no.1, 111-139 Boundary Regularity for the $\bar{\partial}_b$-Neumann problem, 1. J. Geom. Anal. 16 (2006) no. 1, 117-153 Boundary Regularity for the $\bar{\partial}_b$-Neumann problem, 2. J. Geom. Anal. 16 (2006) no. 2, 295-318