Results 101 to 110 of about 427,064 (305)
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
Eells-Sampson type theorems for subelliptic harmonic maps from sub-Riemannian manifolds [PDF]
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
G. Szekeres
semanticscholar +1 more source
The equations of elastostatics in a Riemannian manifold
To begin with, we identify the equations of elastostatics in a Riemannian manifold, which generalize those of classical elasticity in the three-dimensional Euclidean space. Our approach relies on the principle of least energy, which asserts that the deformation of the elastic body arising in response to given loads minimizes over a specific set of ...
Grubic, Nastasia+2 more
openaire +5 more sources
Foundations of Ghost Stability
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
Metallic deformation on para-Sasaki-like para-Norden manifold
The 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]
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
Relative cubulation of relative strict hyperbolization
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley +1 more source
On a type of semi-sub-Riemannian connection on a sub-Riemannian manifold [PDF]
The authors first in this paper define a semi-symmetric metric non-holonomic connection (called in briefly a semi-sub-Riemannian connection) on sub-Riemannian manifolds, and study the relations between sub-Riemannian connections and semi-sub-Riemannian connections. An invariant under a connection transformation $\nabla\rightarrow D$ is obtained.
arxiv
Four-dimensional Riemannian product manifolds with circulant structures
A 4-dimensional Riemannian manifold equipped with an additional tensor structure, whose fourth power is the identity, is considered. This structure has a circulant matrix with respect to some basis, i.e.
Dokuzova, Iva
core