Results 11 to 20 of about 629 (55)

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

Strongly positive curvature [PDF]

, 2014
We begin a systematic study of a curvature condition (strongly positive curvature) which lies strictly between positive curvature operator and positive sectional curvature, and stems from the work of Thorpe in the 1970s.
Bettiol, Renato G., Mendes, Ricardo A. E.   +1 more
core   +1 more source

Manifolds with 1/4-pinched flag curvature [PDF]

, 2009
We say that a nonnegatively curved manifold $(M,g)$ has quarter pinched flag curvature if for any two planes which intersect in a line the ratio of their sectional curvature is bounded above by 4.
A. Petrunin, B. Chow, B. Chow, Burkhard Wilking, C. Böhm, C. Böhm, F. Fang, H. Chen, H. Nguyen, J.H. Sampson, L. Hernández, Lei Ni, M. Berger, M. Berger, M. Berger, M. Micallef, P. Lu, R. Hamilton, R. Hamilton, R. Hamilton, S. Brendle, S. Brendle, S.T. Yau, U. Abresch, Y.-T. Siu   +24 more
core   +6 more sources

Generalized Sums over Histories for Quantum Gravity I. Smooth Conifolds [PDF]

, 1993
This paper proposes to generalize the histories included in Euclidean functional integrals from manifolds to a more general set of compact topological spaces.
Amsterdamski, Anderson, Besse, Coleman, DeWitt, Donald M. Witt, Freedman, Gao, Gell-Mann, Geroch, Gibbons, Giddings, Glimm, Halliwell, Halliwell, Halliwell, Hartle, Hartle, Hartle, Hawking, Hawking, Hawking, Hirsch, Kirby, Kobayashi, Kristin Schleich, Nash, Page, Polchinski, Reed, Rourke, Schleich, Schleich, Spanier, Thurston, Uhlenbeck, Witt, Wright   +37 more
core   +3 more sources

Global surfaces of section for Reeb flows in dimension three and beyond

, 2020
We survey some recent developments in the quest for global surfaces of section for Reeb flows in dimension three using methods from Symplectic Topology.
Hryniewicz, Umberto L., Salomão, Pedro A. S.   +1 more
core   +1 more source

Notes on Perelman's papers [PDF]

, 2008
These are detailed notes on Perelman's papers "The entropy formula for the Ricci flow and its geometric applications" and "Ricci flow with surgery on three-manifolds".Comment: 216 pages, minor corrections ...
Anderson, Anderson, Angenent, Ballmann, Beckner, Bourguignon, Bruce Kleiner, Burago, Calabi, Cao, Chavel, Cheeger, Cheeger, Chen, Chow, Chow, Hamilton, Hamilton, Hamilton, Hamilton, Hamilton, Ishii, John Lott, Kapovitch, Matveev, Morgan, Ni, Ni, Schoen, Schoen, Sharafutdinov, Shi, Shi, Topping   +33 more
core   +3 more sources