Results 71 to 80 of about 347,585 (249)
Anti-invariant Riemannian maps from almost Hermitian manifolds [PDF]
arXiv, 2012 As a generalization of anti-invariant Riemannian submersions, we introduce anti-invariant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give examples and investigate the geometry of foliations which are arisen from the definition of an anti-Riemannian map.
arxiv
Quantitative Biology, Volume 13, Issue 3, September 2025.Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang +3 more
wiley +1 more source
On $(N(k),ξ)$-semi-Riemannian manifolds: Semisymmetries [PDF]
arXiv, 2012 $(N(k),\xi)$-semi-Riemannian manifolds are defined. Examples and properties of $(N(k),\xi)$-semi-Riemannian manifolds are given. Some relations involving ${\cal T}_{a}$-curvature tensor in $(N(k),\xi)$-semi-Riemannian manifolds are proved. $\xi $-${\cal T}_{a}$-flat $(N(k),\xi)$-semi-Riemannian manifolds are defined.
arxiv
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 +2 more
wiley +1 more source
Eells-Sampson type theorems for subelliptic harmonic maps from sub-Riemannian manifolds [PDF]
arXiv, 2019 In this paper, we consider critical maps of a horizontal energy functional for maps from a sub-Riemannian manifold to a Riemannian manifold. These critical maps are referred to as subelliptic harmonic maps. In terms of the subelliptic harmonic map heat flow, we investigate the existence problem for subelliptic harmonic maps.
arxiv
On the singularities of a Riemannian manifold
Publicationes mathematicae (Debrecen), 2022 G. Szekeres
semanticscholar +1 more source
Advanced Physics Research, Volume 4, Issue 4, April 2025.A four‐state non‐Hermitian waveguide system possessing two EPs is proposed to study dynamical encircling one and two EPs, possessing both chiral and non‐chiral dynamics. When the initial states are not on the Riemann sheet that forms the EPs, encircling both EPs produces more NATs and branch cuts than encircling single EP.
Xiaoxiao Wang +5 more
wiley +1 more source
Metallic deformation on para-Sasaki-like para-Norden manifold
AIMS MathematicsThe main goal of this paper is to define the concept of metallic deformation through a relation between the metallic structure and paracontact structure on an almost paracontact para-Norden manifold.
Rabia Cakan Akpınar, Esen Kemer Kansu
doaj +1 more source
Biharmonic submanifolds of pseudo-Riemannian manifolds [PDF]
arXiv, 2015 In this paper, we derived biharmonic equations for pseudo-Riemannian submanifolds of pseudo-Riemannian manifolds which includes the biharmonic equations for submanifolds of Riemannian manifolds as a special case. As applications, we proved that a pseudo-umbilical biharmonic pseudo-Riemannian submanifold of a pseudo-Riemannian manifold has constant mean
arxiv
Foundations of Ghost Stability
Fortschritte der Physik, Volume 73, Issue 4, April 2025.Abstract The authors present a new method to analytically prove global stability in ghost‐ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation.
Verónica Errasti Díez +2 more
wiley +1 more source