48 citations · 249 across the 34 of their papers we have counts for
14 papers · 1 filter
Lens rigidity in 2D: The reconstruction of a Riemann surface from its geodesic lengths
Spyros Alexakis, Matti Lassas
We address the question of whether a Riemannian manifold-with-boundary (M,g) in dimension two is uniquely determined from knowledge of the distances between points on its boundary.…
Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres
Spyros Alexakis, Zhongshan An, Ahmed Ellithy +1
We obtain existence and local uniqueness of asymptotically flat, static vacuum extensions for Bartnik data on a sphere near the data of a sphere of symmetry in a Schwarzschild mani…
Determining a Riemannian Metric from Minimal Areas
Spyros Alexakis, Tracey Balehowsky, Adrian Nachman
We prove that if is a topological 3-ball with a -smooth Riemannian metric , and mean-convex boundary then knowledge of least areas circumscribed by sim…
Integral Kahler Invariants and the Bergman kernel asymptotics for line bundles
Spyros Alexakis, Kengo Hirachi
On a compact Kahler manifold, one can define global invariants by integrating local invariants of the metric. Assume that a global invariant thus obtained depends only on the Kahle…
Complete Willmore surfaces in H3 with bounded energy: boundary regularity and bubbling
Spyros Alexakis, Rafe Mazzeo
We study various aspects related to boundary regularity of complete properly embedded Willmore surfaces in H3, particularly those related to assumptions on boundedness or smallness…
The decomposition of global conformal invariants VI: The proof of the proposition on local Riemannian invariants
Spyros Alexakis
This is the last in a series of papers where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ``global conformal invariants''; these are defined to…