Results 41 to 50 of about 535 (181)

Homotheties and Coverings by Convex Sets

open access: yes, 2023
It is shown that, for any function $g$ that is weakly increasing on compact convex sets and has the property that if $λ\ge 0$ and $K^\prime$ is a translate of $λK$ then $g(K^\prime) =λg(K)$, then for any covering $\bigcup_i X_i\supseteq X$ of a compact convex set $X$ by finitely many compact convex sets $X_i$, the inequality $g(X) \leq \sum_i g(X_i ...
openaire   +2 more sources

Optimal bounds for the Kobayashi distance near C2$\mathcal {C}^2$‐smooth boundary points

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract It is shown that the optimal upper and lower bounds for the Kobayashi distance near C2,α$\mathcal {C}^{2,\alpha }$‐smooth strongly pseudoconvex boundary points obtained in Kosiński, Nikolov, and Ökten [Adv. Math. 478 (2025), 110388] remain true in the general C2$\mathcal {C}^2$‐smooth strongly pseudoconvex setting.
Nikolai Nikolov, Pascal J. Thomas
wiley   +1 more source

Modular analogs of character formulas and minimal lifts of modular forms

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley   +1 more source

Homotheties of cylindrically symmetric static manifolds and their global extension [PDF]

open access: yesClassical and Quantum Gravity, 1999
Cylindrically symmetric static manifolds are classified according to their homotheties and metrics. In each case the homothety vector fields and the corresponding metrics are obtained explicitly by solving the homothety equations. It turns out that these metrics admit homothety groups $H_m$, where $m=4,5,7,11$.
Qadir, Asghar, Sharif, M., Ziad, M.
openaire   +2 more sources

Isometric immersions into three‐dimensional unimodular metric Lie groups

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro   +2 more
wiley   +1 more source

Enhancing the distance minimization methods of matrix updating within a homothetic paradigm

open access: yesJournal of Economic Structures, 2017
Matrix updating methods are used for constructing the target matrix with the prescribed row and column marginal totals that demonstrates the highest possible level of its structural similarity to initial matrix given.
Vladimir Motorin
doaj   +1 more source

On Making Informed Decisions Regarding Clustering Event Logs in Process Discovery

open access: yesExpert Systems, Volume 43, Issue 8, August 2026.
ABSTRACT Process discovery is intended to machine‐learn process models by analysing event logs that record how real processes work. The resulting models tend to be complex because they must account for all the variability in the event logs. It is agreed that clustering the input event log prior to discovery may result in better models.
Belén Ramos‐Gutiérrez   +5 more
wiley   +1 more source

Homotheties and topology of tangent sphere bundles [PDF]

open access: yesJournal of Geometry, 2014
We prove a Theorem on homotheties between two given tangent sphere bundles $S_rM$ of a Riemannian manifold $M,g$ of $\dim\geq 3$, assuming different variable radius functions $r$ and weighted Sasaki metrics induced by the conformal class of $g$. New examples are shown of manifolds with constant positive or with constant negative scalar curvature, which
openaire   +2 more sources

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

open access: yesMathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río   +2 more
wiley   +1 more source

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