Results 111 to 120 of about 1,183,540 (276)

The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry

European Physical Journal C: Particles and Fields
This paper investigates the structure and stability of wormholes within the framework of Finsler–Barthel–Randers geometry, focusing on the influence of different density models. Finsler geometry, as a generalization of Riemannian geometry, allows for the
B. R. Yashwanth, S. K. Narasimhamurthy, J. Praveen, Manjunath Malligawad   +3 more
doaj   +1 more source

On the geometry of Riemannian cubic polynomials

Differential Geometry and its Applications, 2001
AbstractWe continue the work of Crouch and Silva Leite on the geometry of cubic polynomials on Riemannian manifolds. In particular, we generalize the theory of Jacobi fields and conjugate points and present necessary and sufficient optimality ...
Peter E. Crouch, F. Silva Leite, Margarida Camarinha   +2 more
openaire   +2 more sources

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

Curvature and Concentration of Hamiltonian Monte Carlo in High Dimensions [PDF]

, 2015
In this article, we analyze Hamiltonian Monte Carlo (HMC) by placing it in the setting of Riemannian geometry using the Jacobi metric, so that each step corresponds to a geodesic on a suitable Riemannian manifold.
Holmes, Susan, Rubinstein-Salzedo, Simon, Seiler, Christof   +2 more
core  

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

A Comprehensive Review of Golden Riemannian Manifolds

Axioms
In differential geometry, the concept of golden structure represents a compelling area with wide-ranging applications. The exploration of golden Riemannian manifolds was initiated by C. E. Hretcanu and M.
Bang-Yen Chen, Majid Ali Choudhary, Afshan Perween   +2 more
doaj   +1 more source

Sub-Riemannian geometry and Lie groups. Part II. Curvature of metric spaces, coadjoint orbits and associated representations

, 2004
This paper is the third in a series dedicated to the fundamentals of sub-Riemannian geometry and its implications in Lie groups theory: "Sub-Riemannian geometry and Lie groups.
Buliga, Marius
core   +1 more source

Pseudohermitian geometry on contact Riemannian manifolds [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2002
Starting from work by S. Tanno, [39], and E. Barletta et al., [3], we study the geometry of (possibly non integrable) almost CR structures on contact Riemannian manifolds.
David E. Blair, Sorin Dragomir
doaj  

Riemannian Laplace Distribution on the Space of Symmetric Positive Definite Matrices

Entropy, 2016
The Riemannian geometry of the space Pm, of m × m symmetric positive definite matrices, has provided effective ...
Hatem Hajri, Ioana Ilea, Salem Said, Lionel Bombrun, Yannick Berthoumieu   +4 more
doaj   +1 more source

Induced geometry from disformal transformation

Physics Letters B, 2015
In this note, we use the disformal transformation to induce a geometry from the manifold which is originally Riemannian. The new geometry obtained here can be considered as a generalization of Weyl integrable geometry.
Fang-Fang Yuan, Peng Huang
doaj