A Hierarchical Bayesian Model for the Global Holocene Geomagnetic Field
Abstract We present a hierarchical Bayesian model of the global geomagnetic field for the last 8,000 years. The model is built solely with thermoremanent records, which include archeomagnetic and volcanic data. Building upon previous work, this model includes fewer approximations and treats model hyperparameters as probabilistic variables.
M. A. Schanner, S. Panovska, M. Korte
wiley +1 more source
A Note on Spherical Product Surface with L_1-Pointwise 1-Type Gauss Map
In this study, we deal with the spherical product surface whose Gauss map G satisfies the equality L_1G=f(G+C) where L_1 is the Cheng-Yau operator in Galilean 3-space G_3 . We obtain the necessary and sufficient conditions for spherical product surface to have L_1-pointwise 1-type Gauss map in G_3.
KİŞİ, İlim, ÖZTÜRK, Günay
openaire +5 more sources
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
wiley +1 more source
Equidistribution of points in the harmonic ensemble for the Wasserstein distance
Abstract We study the asymptotics of the expected Wasserstein distance between the empirical measure of a point process and the background volume form. The main determinantal point process studied is the harmonic ensemble, where we get the optimal rate of convergence for homogeneous manifolds of dimension d⩾3$d\geqslant 3$, and for two‐point ...
Pablo García Arias
wiley +1 more source
On rotation surfaces with pointwise 1-type gauss map in euclidean 3-space and minkowski 3-space [PDF]
Bu çalışma dört bölümden oluşmaktadır. Birinci bölüm giriş için ayrılmıştır. İkinci bölümde Öklid ve yarı-Öklidyen uzaylar tanıtılarak bu uzaylarda yüzeyler ve yüzeylerin geometrisi için gerekli kavramlar verilmiştir.
Sevil, Ayhatun
core
New Characterizations of the Clifford Torus and the Great Sphere [PDF]
In studying spherical submanifolds as submanifolds of a round sphere, it is more relevant to consider the spherical Gauss map rather than the Gauss map of those defined by the oriented Grassmannian manifold induced from their ambient Euclidean space.
Sun Mi Jung, Young Ho Kim, Jinhua Qian
core +1 more source
Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space
A Lorentz surface in the four-dimensional pseudo-Euclidean space with neutral metric is called quasi-minimal if its mean curvature vector is lightlike at each point. In the present paper we obtain the complete classification of quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map.
Milousheva, Velichka +1 more
openaire +3 more sources
D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders. [PDF]
Csikós B, Elnashar A, Horváth M.
europepmc +1 more source
On rotational surfaces in pseudo-Euclidean space $\mathbb{E}^4_t$ with pointwise 1-type Gauss map
In this work, we study some classes of rotational surfaces in the pseudo-Euclidean space $\mathbb{E}^4_t$ with profile curves lying in 2-dimensional planes. First, we determine all such surfaces in the Minkowski 4-space $\mathbb{E}^4_1$ with pointwise 1-type Gauss map of the first kind and second kind. Then, we obtain rotational surfaces in $\mathbb{E}^
Bektaş, B., Canfes, E. Ö., Dursun, U.
openaire +3 more sources

