TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 358(7) 2875-2895 2006年 [査読有り]
The Steiner problem is the problem of finding the shortest network connecting a given set of points. By the singular Plateau Problem, we will mean the problem of finding an area-minimizing surface ( or a set of surfaces adjoined so that it is home...
COMMUNICATIONS IN MATHEMATICAL PHYSICS 257(3) 703-723 2005年8月 [査読有り]
We construct a time-symmetric asymptotically flat initial data set to the Einstein-Maxwell Equations which satisfies
m - 1/2 (R + O-2/R) < 0
where m is the total mass, R = &RADIC; A/4π is the area radius of the outermost horizon and Q is the...
MATHEMATICAL RESEARCH LETTERS 11(2-3) 327-344 2004年3月 [査読有り]
Given a surface of higher genus, we will look at the Weil-Petersson completion of the Teichmuller space of the surface, and will study the geometry induced by the Weil-Petersson distance functional. Although the completion is no longer a Riemannia...