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In this last approach, Riemannian optimization, which generalizes classical optimization techniques, is a popular concept.

A survey and comparison of contemporary algorithms for computing the matrix geometric mean

Finster and Kamran propose causal fermion systems and Riemannian fermion systems as a framework describing non-smooth geometries, in particular, providing a setting for spinors on singular spaces.

Spinors on Singular Spaces and the Topology of Casual Fermion Systems

Then K is a maximal compact subgroup of G and G/K is a Riemannian symmetric space.

Classification of irreducible symmetric spaces which admit standard compact Clifford--Klein forms

The components of quasi-conformal like curvature tensor W in a Riemannian manifold ([M.sup.2n+1], g)(n > 1), are given by

Ricci solitons in N(K)-manifold

Carriazo ([6])), and in almost product Riemannian manifolds (B.

Slant and Semi-Slant Submanifolds in Metallic Riemannian Manifolds

Notice that, for curves [gamma] isometrically immersed in a Riemannian manifold, H is nothing but the geodesic curvature of [gamma], [kappa], and W(S) boils down to

Willmore-Like Tori in Killing Submersions

Let [M.sup.2n] be a generalized almost Hermitian manifold, with the generalized Riemannian metric G and the compatible generalized almost complex structure J.

A note on submanifolds of generalized Kahler manifolds

Recently, the Riemannian approach employed in the feature extraction process enables direct manipulation of multichannel signal covariance matrices, which are used as features.

A deep neural network classifier for decoding human brain activity based on magnetoencephalography

Let (M, g) be a homogeneous Riemannian manifold, i.e.

Homogeneous Geodesies in Generalized Wallach Spaces

1 Riemannian geometry as a mathematical model of the real world

A telemetric multispace formulation of Riemannian geometry, general relativity, and cosmology: implications for relativistic cosmology and the true reality of time