Results 41 to 50 of about 2,910 (192)

On Geometric Phase Model in the Theory of Curves With Myller Configuration

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir, Bahar Doğan Yazıcı, Murat Tosun   +2 more
wiley   +1 more source

On Ricci Riemannian Manifolds

Annals of the Alexandru Ioan Cuza University - Mathematics, 2010
Summary: The object of this paper is to study some properties of a type of Riemannian manifold called Ricci Riemannian manifold \((M^n,g),n>2\). The perfect fluid space time \((M^4,g)\) of general relativity is also studied.
openaire   +2 more sources

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

Optimal inequalities involving Casorati curvatures for Riemannian maps to nearly Kaehler manifolds

Journal of Inequalities and Applications
We establish a general inequality and optimal inequalities involving the normalized Casorati curvatures and the generalized normalized Casorati curvatures within the horizontal space of a Riemannian map from a Riemannian manifold to a nearly Kaehler ...
Tanveer Fatima, Reetu Maini, Garima Gupta, Rakesh Kumar, Rashmi Sachdeva, Rachna Rani   +5 more
doaj   +1 more source

The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions

Mathematics, 2019
In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted ...
Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok   +2 more
doaj   +1 more source

Calibrating Bayesian inference

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information‐updating rules. In many applications, however, prior distributions are introduced merely as instruments to facilitate computation, rather than as representations of genuine subjective belief ...
Yang Liu, Jonathan P. Williams, Jan Hannig   +2 more
wiley   +1 more source

ON THE LIFTS OF SEMI-RIEMANNIAN METRICS [PDF]

Journal of Sciences, Islamic Republic of Iran, 1994
In this paper, we extend Sasaki metric for tangent bundle of a Riemannian manifold and Sasaki-Mok metric for the frame bundle of a Riemannian manifold [I] to the case of a semi-Riemannian vector bundle over a semi- Riemannian manifold. In fact, if E is a
doaj  

Dynamic and low-dimensional modeling of brain functional connectivity on Riemannian manifolds

NeuroImage
Modeling brain functional connectivity (FC) is key in investigating brain functions and dysfunctions. FC is typically quantified by symmetric positive definite (SPD) matrices that are located on a Riemannian manifold rather than the regular Euclidean ...
Mingyu Wang, Yueming Wang, Yuxiao Yang
doaj   +1 more source

Anisotropically Weighted and Nonholonomically Constrained Evolutions on Manifolds

Entropy, 2016
We present evolution equations for a family of paths that results from anisotropically weighting curve energies in non-linear statistics of manifold valued data. This situation arises when performing inference on data that have non-trivial covariance and
Stefan Sommer
doaj   +1 more source

Two-Root Riemannian Manifolds

Mediterranean Journal of Mathematics, 2023
Osserman manifolds are a generalization of locally two-point homogeneous spaces. We introduce $k$-root manifolds in which the reduced Jacobi operator has exactly $k$ eigenvalues. We investigate one-root and two-root manifolds as another generalization of locally two-point homogeneous spaces. We prove that there is no two-root Riemannian manifold of odd
openaire   +2 more sources