Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Arthur G. Wasserman"'
Publikováno v:
Transformation Groups.
Publikováno v:
Transformation Groups. 25:483-515
Suppose G is a cyclic group and M a closed smooth G-manifold with exactly one isotropy type. We will show that there is a nonsingular real algebraic G-variety X such that X is equivariantly diffeomorphic to M and all G-vector bundles over X are stron
Autor:
Piotr Bizoń, Arthur G. Wasserman
Publikováno v:
International Mathematics Research Notices
We prove that the harmonic map flow from the Euclidean space $\mathbb{R}^d$ into the sphere $S^d$ has no equivariant self-similar shrinking solutions in dimensions $d\geq 7$.
5 pages, Remark 1 added, matches published version
5 pages, Remark 1 added, matches published version
This note gives an example of closed smooth manifolds M and N for which the rank of M × N is strictly greater than rank M + rank N .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5dd4a1aa8af5f00f3f47075884bf04e1
http://arxiv.org/abs/1604.08150
http://arxiv.org/abs/1604.08150
Autor:
Arthur G. Wasserman
Publikováno v:
Topology and its Applications. 107(3):245-257
In this paper we consider relations between characteristic classes and fixed point sets of group actions. The first such example of such a relation is Hopf's theorem relating the zeroes of a vector field on a manifold (fixed points of an action of R
Autor:
Arthur G. Wasserman, J. A. Smoller
Publikováno v:
Communications in Mathematical Physics. 194:707-732
We prove that any asymptotically flat solution to the spherically symmetric SU(2) Einstein-Yang/Mills equations is globally defined. This result applies in particular to the interior of colored black holes.
Autor:
Arthur G. Wasserman
Publikováno v:
Topology and its Applications. 75:13-31
The equivariant blow-up construction can simplify the orbit structure of a G -manifold. For abelian G the action can be simplified to an action in which all isotropy subgroups are Z 2 -vector spaces and the codimension of the set of points having any
Autor:
Joel Smoller, Arthur G. Wasserman
Publikováno v:
Journal of Mathematical Physics. 37:1461-1484
In this paper we prove that the only spherically symmetric black hole solution to the SU(2) Einstein–Yang/Mills equations that has zero temperature at the event horizon is the extreme Reissner–Nordstrom solution. No assumptions are made on the si
Autor:
Joel Smoller, Arthur G. Wasserman
Publikováno v:
Journal of Mathematical Physics. 36:4301-4323
It is shown rigorously that any static symmetric solution of the Einstein–Yang–Mills (YM) equations with SU(2) gauge group that is well behaved in the far field is one of three types: black hole, particlelike, or Riessner–Nordstrom‐like (RN)
Autor:
Joel Smoller, Arthur G. Wasserman
Publikováno v:
Communications in Mathematical Physics. 161:365-389
A mathematical investigation of the limiting behavior of particle-like solutions of Einstein-Yang-Mills equations leads to a discovery of a new type of black hole solution.