Results 11 to 20 of about 641 (52)

Virtual domination of 3‐manifolds II

Journal of the London Mathematical Society, Volume 108, Issue 3, Page 869-915, September 2023., 2023
Abstract For any closed oriented 3‐manifold M$M$ with positive simplicial volume and any closed oriented 3‐manifold N$N$, we prove that there exists a finite cover M′$M^{\prime }$ of M$M$ that admits a degree‐1 map f:M′→N$f:M^{\prime }\rightarrow N$, that is, M$M$ virtually 1‐dominates N$N$.
Hongbin Sun
wiley   +1 more source

Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems

Communications on Pure and Applied Mathematics, Volume 76, Issue 8, Page 1554-1607, August 2023., 2023
Abstract For a given finite subset S of a compact Riemannian manifold (M,g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition for the existence and uniqueness of a conformal metric on M\S such that each point of S corresponds to an asymptotically flat end and that the Schouten tensor of the ...
Yanyan Li, Luc Nguyen
wiley   +1 more source

On the systole growth in congruence quaternionic hyperbolic manifolds

Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1265-1281, August 2022., 2022
Abstract We provide an explicit lower bound for the systole in principal congruence covers of compact quaternionic hyperbolic manifolds. We also prove the optimality of this lower bound.
Vincent Emery, Inkang Kim, Plinio G. P. Murillo   +2 more
wiley   +1 more source

Data analysis on nonstandard spaces

WIREs Computational Statistics, Volume 13, Issue 3, May/June 2021., 2021
Surveying many non‐Euclidean statistical problems with ingenious solutions, we uncover new ones, keeping mathematicians, statisticians, computer and data scientists busy for a while. Abstract The task to write on data analysis on nonstandard spaces is quite substantial, with a huge body of literature to cover, from parametric to nonparametrics, from ...
Stephan F. Huckemann, Benjamin Eltzner
wiley   +1 more source

Some Eigenvalues Estimate for the ϕ‐Laplace Operator on Slant Submanifolds of Sasakian Space Forms

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
This paper is aimed at establishing new upper bounds for the first positive eigenvalue of the ϕ‐Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenvalue for the ϕ‐Laplacian operator on closed oriented m‐dimensional slant submanifolds in a Sasakian space form M~21k+ε is estimated in ...
Yanlin Li, Akram Ali, Fatemah Mofarreh, Abimbola Abolarinwa, Rifaqat Ali, Umair Ali   +5 more
wiley   +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

Dual spaces of geodesic currents

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley   +1 more source

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

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

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