Results 201 to 210 of about 94,728 (213)

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.
È A Loginov   +2 more
openaire   +3 more sources

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, Hongbin Zha
openaire   +3 more sources

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.
Lieven Vanhecke, Aj Ledger
openaire   +2 more sources

Riemannian manifolds

2018
Abstract This chapter is about Riemannian manifolds. It first discusses the metric manifold and the Levi-Civita connection, determining if the metric is Riemannian or Lorentzian. Next, the chapter turns to the properties of the curvature tensor.
Nathalie Deruelle, Jean-Philippe Uzan
openaire   +1 more source

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
openaire   +2 more sources

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 ...
openaire   +3 more sources

Riemannian Manifold

2020
Tong Lin, Hongbin Zha
openaire   +1 more source

The Fibring of Riemannian Manifolds [PDF]

open access: possibleProceedings of the London Mathematical Society, 1953
openaire   +1 more source

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