Results 51 to 60 of about 9,754 (219)
The spectral length of a map between Riemannian manifolds [PDF]
, 2012 To a closed Riemannian manifold, we associate a set of (special values of) a family of Dirichlet series, indexed by functions on the manifold. We study the meaning of equality of two such families of spectral Dirichlet series under pullback along a map ...
de Jong, J.W.W. +3 more
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To geometric aspects of in nite-dimensional dynamical systems
Современная математика: Фундаментальные направленияThe main goal of the work is to construct analogues of Christoffel symbols for infinitedimensional systems and on this basis to obtain geodesic equations for such systems.
V. M. Savchin
doaj +1 more source
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 +2 more
wiley +1 more source
Half-Lightlike Submanifolds of Metallic semi-Riemannian Manifolds [PDF]
, 1997 The aim of the present paper is to study half-lightlike submanifolds of a semi-Riemannian manifold endowed with a metallic structure. We introduce a special half-lightlike submanifold called screen semi-invariant half lightlike submanifold in metallic ...
Erdogan, Feyza Esra +6 more
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Quantum Riemannian geometry of quantum projective spaces [PDF]
, 2022 We study the quantum Riemannian geometry of quantum projective spaces of any dimension. In particular we compute the Riemann and Ricci tensors, using previously introduced quantum metrics and quantum Levi-Civita connections.
Matassa, Marco
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The infinity(x)-Laplace equation in Riemannian vector fields
Electronic Journal of Differential Equations, 2015 We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of viscosity solutions to the infinity(x)-Laplace equation in Riemannian vector fields.
Thomas Bieske
doaj
The χ-Hessian Quotient for Riemannian Metrics
Axioms, 2021 Pseudo-Riemannian geometry and Hilbert–Schmidt norms are two important fields of research in applied mathematics. One of the main goals of this paper will be to find a link between these two research fields. In this respect, in the present paper, we will
Pişcoran Laurian-Ioan +3 more
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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
Carleson Measures and Logvinenko-Sereda sets on compact manifolds [PDF]
, 2013 Given a compact Riemannian manifold $M$ of dimension $m \geq 2$, we study the space of functions of $L^2(M)$generated by eigenfunctions of eigenvalues less than $L \geq 1$ associated to the Laplace-Beltrami operator on $M$.
Bharti Pridhnani +3 more
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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
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