Results 51 to 60 of about 130 (118)

The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces

Communications on Pure and Applied Mathematics, Volume 77, Issue 7, Page 3184-3226, July 2024.
Abstract We prove the existence of nontrivial closed surfaces with constant anisotropic mean curvature with respect to elliptic integrands in closed smooth 3$\hskip.001pt 3$–dimensional Riemannian manifolds. The constructed min‐max surfaces are smooth with at most one singular point.
Guido De Philippis, Antonio De Rosa
wiley   +1 more source

Geodesic Graphs for Geodesic Orbit Finsler $$(\alpha ,\beta )$$ Metrics on Spheres

Vietnam Journal of Mathematics
Invariant geodesic orbit Finsler $(α,β)$ metrics $F$ which arise from Riemannian geodesic orbit metrics $α$ on spheres are determined. The relation of Riemannian geodesic graphs with Finslerian geodesic graphs proved in a previous work is now illustrated with explicit constructions.
Teresa Arias-Marco, Zdeněk Dušek
openaire   +3 more sources

On the average indices of closed geodesics on positively curved Finsler spheres [PDF]

Mathematische Annalen, 2012
In this paper, we prove that on every Finsler $n$-sphere $(S^n, F)$ for $n\ge 6$ with reversibility $λ$ and flag curvature $K$ satisfying $(\fracλ{λ+1 ...
openaire   +2 more sources

Multiplicity and stability of closed geodesics on positively curved Finsler $4$-spheres

, 2022
37 pages. arXiv admin note: text overlap with arXiv:1508.05577; text overlap with arXiv:1712.07000, arXiv:1804.06193, arXiv:1804.08452, arXiv:1803.08350 by other ...
Duan, Huagui, Xie, Dong
openaire   +2 more sources

Pointwise eigenvector estimates by landscape functions: Some variations on the Filoche–Mayboroda–van den Berg bound

Mathematische Nachrichten, Volume 297, Issue 5, Page 1749-1771, May 2024.
Abstract Landscape functions are a popular tool used to provide upper bounds for eigenvectors of Schrödinger operators on domains. We review some known results obtained in the last 10 years, unify several approaches used to achieve such bounds, and extend their scope to a large class of linear and nonlinear operators. We also use landscape functions to
Delio Mugnolo
wiley   +1 more source

An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications

Mathematische Nachrichten, Volume 297, Issue 2, Page 454-481, February 2024.
Abstract In this paper, we extend notions of complex C−R$\mathbb {C} - \mathbb {R}$‐calculus to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case. Applications of this theory include two bicomplex least mean square algorithms, which extend classical real and complex least mean square algorithms.
Daniel Alpay, Kamal Diki, Mihaela Vajiac
wiley   +1 more source

Homogeneous Finsler sphere with constant flag curvature

, 2019
Changes in this verseion: a reference (see [5]) and a paragraph for remark is added after Corollary 1 ...
openaire   +3 more sources

Multiplicity and stability of closed geodesics on Finsler 2-spheres

Journal of the European Mathematical Society, 2006
A survey of recent progress on the multiplicity and stability problems of closed geodesics on Finsler 2 -spheres is given.
openaire   +3 more sources

Lipschitz Carnot-Carathéodory Structures and their Limits. [PDF]

J Dyn Control Syst, 2023
Antonelli G, Le Donne E, Nicolussi Golo S.   +2 more
europepmc   +1 more source

A space of goals: the cognitive geometry of informationally bounded agents. [PDF]

R Soc Open Sci, 2022
Archer K, Catenacci Volpi N, Bröker F, Polani D.   +3 more
europepmc   +1 more source