Results 71 to 80 of about 1,358 (218)

Chern conjecture on minimal hypersurfaces

, 2021
In this paper, we study $n$-dimensional complete minimal hypersurfaces in a unit sphere. We prove that an $n$-dimensional complete minimal hypersurface with constant scalar curvature in a unit sphere with $f_3$ constant is isometric to the totally geodesic sphere or the Clifford torus if $S\leq 1.8252 n-0.712898$, where $S$ denotes the squared norm of ...
Cheng, Qing-Ming, Wei, Guoxin, Yamashiro, Takuya   +2 more
openaire   +2 more sources

The dimension of well approximable numbers

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
wiley   +1 more source

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]

ریاضی و جامعه
This paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
doaj   +1 more source

Existence of minimal hypersurfaces with non-empty free Boundary for generic metrics [PDF]

, 2022
Zhichao Wang
openalex   +1 more source

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

Coxeter's enumeration of Coxeter groups

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley   +1 more source

Parallel Hypersurfaces in 𝔼⁴ and Their Applications to Rotational Hypersurfaces

Mathematics
This study explores parallel hypersurfaces in four-dimensional Euclidean space E4, deriving explicit expressions for their Gaussian and mean curvatures in terms of the curvature functions of the base hypersurface. We identify conditions under which these
Sezgin Büyükkütük, Ilim Kişi, Günay Öztürk, Emre Kişi   +3 more
doaj   +1 more source

Characterizations of minimal hypersurfaces immersed in certain warped products

Extracta Mathematicae, 2019
Our purpose in this paper is to investigate when a complete two-sided hypersurface immersed with constant mean curvature in a Killing warped product Mn ×ρ R, whose Riemannian base Mn has sectional curvature bounded from below and such that the warping ...
Eudes L. de Lima, Henrique F. de Lima, Eraldo A. Lima Jr, Adriano A. Medeiros   +3 more
doaj  

$L_k$-biharmonic spacelike hypersurfaces in Minkowski $4$-space $mathbb{E}_1^4$ [PDF]

Sahand Communications in Mathematical Analysis, 2017
Biharmonic surfaces in Euclidean space $mathbb{E}^3$ are firstly studied from a differential geometric point of view by Bang-Yen Chen, who showed that the only biharmonic surfaces are minimal ones.
Firooz Pashaie, Akram Mohammadpouri
doaj