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On convergence of intrinsic volumes of Riemannian manifolds

Journal of Geometry, 2022
Let $$\pi :M\rightarrow B$$ π : M → B be a Riemannian submersion of two compact smooth Riemannian manifolds, B is connected. Let $$M(\varepsilon )$$ M ( ε ) denote the manifold M equipped with the new Riemannian metric which is obtained from the original
S. Alesker
semanticscholar   +2 more sources

Bézier curves and C2 interpolation in Riemannian manifolds

Journal of Approximation Theory, 2007
In a connected Riemannian manifold, generalised Bezier curves are C^~ curves defined by a generalisation, in which line segments are replaced by minimal geodesics, of the classical de Casteljau algorithm.
Tomasz Popiel, L. Noakes
semanticscholar   +1 more source

Fractional anisotropic Calderón problem on closed Riemannian manifolds

Journal of differential geometry, 2021
In this paper we solve the fractional anisotropic Calder\'on problem on closed Riemannian manifolds of dimensions two and higher. Specifically, we prove that the knowledge of the local source-to-solution map for the fractional Laplacian, given on an ...
A. Feizmohammadi   +3 more
semanticscholar   +1 more source

Differential Geometry of Special Mappings

, 2019
The monograph deals with the theory of conformal, geodesic, holomorphically projective, F-planar and others mappings and transformations of manifolds with affine connection, Riemannian, Kahler and Riemann-Finsler manifolds.
J. Mikeš   +20 more
semanticscholar   +1 more source

Ergodic Properties of Geodesic Flows on Closed Riemannian Manifolds of Negative Curvature

, 2020
Citation in format AMSBIB \Bibitem{Ano67} \by D.~V.~Anosov \paper Geodesic flows on closed Riemannian manifolds of negative curvature \serial Trudy Mat. Inst. Steklov. \yr 1967 \vol 90 \pages 3--210 \mathnet{http://mi.mathnet.ru/tm2795} \mathscinet{http:/
D. Anosov
semanticscholar   +1 more source

Simple Algorithms for Optimization on Riemannian Manifolds with Constraints

Applied Mathematics and Optimization, 2019
We consider optimization problems on manifolds with equality and inequality constraints. A large body of work treats constrained optimization in Euclidean spaces.
Changshuo Liu, Nicolas Boumal
semanticscholar   +1 more source

The basic component of the mean curvature of Riemannian foliations


For a Riemannian foliation % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0 ...
Jesús A. Álvarez López
semanticscholar   +1 more source

Unscented Kalman Filtering on Riemannian Manifolds

Journal of Mathematical Imaging and Vision, 2013
Søren Hauberg, F. Lauze, K. S. Pedersen
semanticscholar   +1 more source

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