3 citations · 8 across the 8 of their papers we have counts for
9 papers
Left-invariant Grauert tubes on SU(2)
Vaqaas Aslam, Daniel M Burns, Daniel Irvine
Let M be a real analytic Riemannian manifold. An adapted complex structure on TM is a complex structure on a neighborhood of the zero section such that the leaves of the Riemann fo…
The Complex Monge-Ampère Equation, Zoll Metrics and Algebraization
Daniel Burns, Kin Kwan Leung
Let M be a real analytic Riemannian manifold. An adapted complex structure on is a complex structure on a neighborhood of the zero section such that the leaves of the Riemann…
Extremal functions for real convex bodies
D. Burns, N. Levenberg, S. Ma`u
We study the smoothness of the Siciak-Zaharjuta extremal function associated to a convex body in . We also prove a formula relating the complex equilibrium measure of…
Monge-Ampère Measures for Convex Bodies and Bernstein-Markov Type Inequalities
D. Burns, N. Levenberg, S. Ma'u +1
We use geometric methods to calculate a formula for the complex Monge-Ampère measure , for $K \Subset \RR^n \subset \CC^n$ a convex body and its Siciak-Zaharjuta…
Exterior Monge-Ampere Solutions
D. Burns, N. Levenberg, S. Ma'u
We discuss the Siciak-Zaharjuta extremal function of a real convex body in C^n, a solution of the homogeneous complex Monge-Ampere equation on the exterior of the convex body. We d…
Symplectic geometry and the uniqueness of Grauert tubes
D. Burns, R. Hind
A compact real analytic Riemannian manifold M admits a canonical complexification with plurisubharmonic exhaustion function satisfying the homogeneous complex Monge-Ampere equation…