Results 51 to 60 of about 535 (181)

Proper 3‐realizability and second cohomology of groups on two generators of finite order

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Given an (infinite) finitely generated group G$G$, its first cohomology group H1(G;ZG)$H^1(G;{\mathbb {Z}}G)$ is free abelian and “counts” the number of ends of G$G$ which equals 1+rank(H1(G;ZG))$1 + rank (H^1(G;{\mathbb {Z}}G))$. The question whether or not for every finitely presented group G$G$ its second cohomology group H2(G;ZG)$H^2(G ...
Francisco F. Lasheras, R. Roy
wiley   +1 more source

On Geometric Characteristics of an n-Dimensional Simplex

Моделирование и анализ информационных систем, 2011
We prove and discuss some propositions for geometric characteristics of an n-dimensional simplex. Also we note the connection with linear interpolation on the cube [0; 1]^n.
M. V. Nevskii
doaj  

On Numerical Characteristics of а Simplex and their Estimates

Моделирование и анализ информационных систем, 2016
Let \(n\in {\mathbb N}\), and let \(Q_n=[0,1]^n\) be the \(n\)-dimensionalunit cube. For a nondegenerate simplex \(S\subset {\mathbb R}^n\), by\(\sigma S\) we denote the homothetic image of \(S\)with the center of homothety in the center of gravity of S ...
M. V. Nevskii, A. Yu. Ukhalov
doaj   +1 more source

Extremal rate of convergence in continuous dynamics

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract This paper deals with semigroups of holomorphic self‐maps of the upper half‐plane that exhibit an extremal (i.e., the slowest possible) rate of convergence to their Denjoy–Wolff point. The main novelty lies in the parabolic case of zero hyperbolic step.
Francisco J. Cruz‐Zamorano, Konstantinos Zarvalis   +1 more
wiley   +1 more source

Gallai’s Theorem: A Detailed Exposition of Witt’s Proof

Mathematics
Gallai’s theorem states that if the Euclidean plane is colored with finitely many colors then every finite configuration of points admits a monochromatic homothetic copy.
Roger D. Maddux
doaj   +1 more source

New results on embeddings of self‐similar sets via renormalization

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract For self‐similar sets X,Y⊆R$X,Y\subseteq \mathbb {R}$, we obtain new results toward the affine embeddings conjecture of Feng–Huang–Rao (2014), and the equivalent weak intersections conjecture. We show that the conjecture holds when the defining maps of X,Y$X,Y$ have algebraic contraction ratios, and also for arbitrary Y$Y$ when the maps ...
Amir Algom, Michael Hochman, Meng Wu
wiley   +1 more source

Remarks on conformal transformations [PDF]

, 2003
We study conformal transformations between spaces of constant curvature. We give a necessary andsufficient condition that such a conformal transformation preserves Ricci tensors.
Agaoka, Yoshio, Kim, Byung Hak
core   +1 more source

Classes of homothetic convex sets

Extracta Mathematicae
This is a survey of known results and still open problems on characteristic properties of classes of homothetic convex sets in the n-dimensional Euclidean space.
Valeriu Soltan
doaj   +1 more source

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley   +1 more source

On a new family of homogeneous Einstein manifolds [PDF]

, 1992
summary:We show that there exists exactly one homothety class of invariant Einstein metrics on each space $[SU(2)]^{S+1}/T^S$ defined ...
Rodionov, E. D.
core   +1 more source