Results 21 to 30 of about 735 (92)

Bifurcation of periodic solutions to the singular Yamabe problem on spheres [PDF]

, 2015
We obtain uncountably many periodic solutions to the singular Yamabe problem on a round sphere, that blow up along a great circle. These are (complete) constant scalar curvature metrics on the complement of $S^1$ inside $S^m$, $m\geq 5$, that are ...
Bettiol, Renato G., Piccione, Paolo, Santoro, Bianca   +2 more
core   +1 more source

Constant scalar curvature metrics on connected sums

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 7, Page 405-450, 2003., 2003
The Yamabe problem (proved in 1984) guarantees the existence of a metric of constant scalar curvature in each conformal class of Riemannian metrics on a compact manifold of dimension n ≥ 3, which minimizes the total scalar curvature on this conformal class. Let (M′, g′) and (M″, g″) be compact Riemannian n‐manifolds. We form their connected sumM′#M″ by
Dominic Joyce
wiley   +1 more source

Bubbles on Manifolds with a U(1) Isometry [PDF]

, 2007
We investigate the construction of five-dimensional, three-charge supergravity solutions that only have a rotational U(1) isometry. We show that such solutions can be obtained as warped compactifications with a singular ambi-polar hyper-Kahler base space
A. Saxena, B. Bates, D. Gaiotto, F. Denef, F. Denef, H. Elvang, I. Bena, I. Bena, I. Bena, I. Bena, I. Bena, I. Bena, I.R. Klebanov, Iosif Bena, J. Ford, J.B. Gutowski, J.P. Gauntlett, L. Grant, M.C.N. Cheng, Nicholas P Warner, Nikolay Bobev, P. Berglund, S.D. Mathur, V. Balasubramanian, V.S. Rychkov   +24 more
core   +2 more sources

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source

De Sitter and Schwarzschild-De Sitter According to Schwarzschild and De Sitter

, 2003
When de Sitter first introduced his celebrated spacetime, he claimed, following Schwarzschild, that its spatial sections have the topology of the real projective space RP^3 (that is, the topology of the group manifold SO(3)) rather than, as is almost ...
A. Aguirre, A. Casher, A. de Oliveira-Costa, A. Strominger, A.A. Bytsenko, A.J.M. Medved, A.L. Besse, B.T. McInnes, Brett McInnes, C. Bennett ., C.G. Callan Jr., D. Chang, E. Schrödinger, G. Efstathiou, G. Efstathiou, G.W. Gibbons, H.B. Lawson, H.K. Eriksen, J. Louko, J. Louko, J. Polchinski, J. Preskill, J.-P. Luminet, J.-P. Uzan, J.A. Wolf, J.M. Maldacena, J.P. van der Schaar, K Schwarzschild, K. Schwarzschild, L. Andersson, L. Dyson, L. Fidkowski, L. Susskind, L.M. Krauss, M. Visser, M.K. Parikh, N. Goheer, P. Kerszberg, P. Scott, R. Bousso, R. Bousso, R.M. Wald, S. Hawking, S. Kobayashi, S. Nojiri, S. Shankaranarayanan, S.W. Hawking, T. Hertog, T. Jacobson, V. Balasubramanian, V. Balasubramanian, W. de Sitter, W. Israel   +52 more
core   +1 more source

Relatively Anosov representations via flows II: Examples

Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.
Abstract This is the second in a series of two papers that develops a theory of relatively Anosov representations using the original “contracting flow on a bundle” definition of Anosov representations introduced by Labourie and Guichard–Wienhard. In this paper, we focus on building families of examples.
Feng Zhu, Andrew Zimmer
wiley   +1 more source

Constrained deformations of positive scalar curvature metrics, II

Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.
Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
wiley   +1 more source

Volume-Preserving flow by powers of the mth mean curvature in the hyperbolic space [PDF]

, 2013
This paper concerns closed hypersurfaces of dimension $n(\geq 2)$ in the hyperbolic space ${\mathbb{H}}_{\kappa}^{n+1}$ of constant sectional curvature $\kappa$ evolving in direction of its normal vector, where the speed is given by a power $\beta (\geq ...
Guo, Shunzi, Li, Guanghan, Wu, Chuanxi
core  

Some open problems and conjectures on submanifolds of finite type: recent development [PDF]

, 2014
Submanifolds of finite type were introduced by the author during the late 1970s. The first results on this subject were collected in author's books [26,29].
Chen, Bang-Yen
core   +1 more source

The Topology of the AdS/CFT/Randall-Sundrum Complementarity

, 2001
The background geometries of the AdS/CFT and the Randall-Sundrum theories are locally similar, and there is strong evidence for some kind of "complementarity" between them; yet the global structures of the respective manifolds are very different. We show
Aharony, Akhoury, Anchordoqui, Barcelo, Battye, Besse, Boschi-Filho, Brett McInnes, Cai, Carroll, Chan, Cvetič, DeWolfe, Duff, Duff, Galloway, Gilkey, Gubser, Hawking, Karch, Kirklin, Lawson, Maldacena, McInnes, McInnes, Milnor, Nojiri, Nojiri, Nojiri, Nojiri, Randall, Randall, Schoen, Seiberg, Verlinde, Visser, Wald, Witten, Witten   +38 more
core   +4 more sources