Results 31 to 40 of about 872 (123)

Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
wiley   +1 more source

On the isoperimetric Riemannian Penrose inequality

Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 1042-1085, May 2025.
Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri   +2 more
wiley   +1 more source

Regularity and separation for Grušin‐type p‐Laplace operators

Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.
Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley   +1 more source

Asymptotic behavior of Moncrief Lines in constant curvature space‐times

Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1347-1359, May 2025.
Abstract We study the asymptotic behavior of Moncrief lines on 2+1$2+1$ maximal globally hyperbolic spatially compact space‐time M$M$ of nonnegative constant curvature. We show that when the unique geodesic lamination associated with M$M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique ...
Mehdi Belraouti, Abderrahim Mesbah, Lamine Messaci   +2 more
wiley   +1 more source

A fundamental theorem for submanifolds in semi-Riemannian warped products [PDF]

Journal of Geometry and Physics, 2017
Carlos A. D. Ribeiro, Marcos F. de Melo
semanticscholar   +1 more source

Riemannian geometry and geometric analysis

, 1995
J. Jost
semanticscholar   +1 more source

Information-Theoretic Models for Physical Observables. [PDF]

Entropy (Basel), 2023
Bernal-Casas D, Oller JM.
europepmc   +1 more source

Comparison theorems on H-type sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ
Baudoin F, Grong E, Rizzi L, Vega-Molino S.   +3 more
europepmc   +1 more source

Fundamental groups of compact manifolds and symmetric geometry of noncompact type

, 1999
A. Candel, R. Quiroga-Barranco
semanticscholar   +1 more source

Width Stability of Rotationally Symmetric Metrics. [PDF]

J Geom Anal
Stufflebeam H, Sweeney P.
europepmc   +1 more source