Results 151 to 160 of about 82,161 (203)

Shape modeling of longitudinal medical images: from diffeomorphic metric mapping to deep learning. [PDF]

Front Artif Intell
Tay E, Tümer N, Zadpoor AA.
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Riemannian Manifold Learning

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2008
Recently, manifold learning has been widely exploited in pattern recognition, data analysis, and machine learning. This paper presents a novel framework, called Riemannian manifold learning (RML), based on the assumption that the input high-dimensional data lie on an intrinsically low-dimensional Riemannian manifold.
Tong Lin 0002, Hongbin Zha
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Meta‐Golden Riemannian manifolds

Mathematical Methods in the Applied Sciences, 2022
The logarithmic spiral in nature has been given as an example of the golden ratio until now. But recently, it has been shown that this is not true, and the logarithmic spiral has actually been shown to provide the so‐called Meta‐Golden‐Chi ratio. Inspiring from Meta‐Golden‐Chi ratio, we introduce almost Meta‐Golden manifolds, give a characterization ...
Fulya Şahin, Bayram Şahin
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EQUIMORPHISMS OF RIEMANNIAN MANIFOLDS

Mathematics of the USSR-Izvestiya, 1972
We establish a sufficient condition for stability of Riemannian manifolds, i.e. a property according to which every equimorphism of this manifold can be topologically extended to its absolute.
Efremovich, V. A., Loginov, Eh. A., Tikhomirova, E. S.   +2 more
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Symmetries on Riemannian Manifolds

Mathematische Nachrichten, 1988
AbstractLocally symmetric KÄHLER manifolds may be characterized as almost HERMITian manifolds with symplectic or holomorphic local geodesic symmetries. We extend the notion of a local geodesic symmetry and in particular, give a similar characterization of all RIEMANNian locally s‐regular manifolds with an s‐structure of odd order.
Ledger, A. J., Vanhecke, L.
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Riemannian Metrics and Riemannian Manifolds

2020
Fortunately, the rich theory of vector spaces endowed with a Euclidean inner product can, to a great extent, be lifted to the tangent bundle of a manifold. The idea is to equip the tangent space TpM at p to the manifold M with an inner product 〈−, −〉p, in such a way that these inner products vary smoothly as p varies on M. It is then possible to define
Jean Gallier, Jocelyn Quaintance
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The Manifolds Covered by a Riemannian Homogeneous Manifold

American Journal of Mathematics, 1960
Introduction. The sphere is known to be the universal covering for complete connected Riemannian manifolds of constant positive curvature. More precisely, if M is an n-dimensional complete connected Riemannian manifold of constant sectional curvature k2 > 0 with k > 0, and if Sn is the sphere of radius k-1 in Euclidean space RI'+', with the induced ...
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On the Curvatura Integra in a Riemannian Manifold

The Annals of Mathematics, 1945
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