Results 31 to 40 of about 1,183,540 (276)
Identifying Riemannian Singularities with Regular Non-Riemannian Geometry [PDF]
Physical Review Letters, 2022 v2) 7 pages, title modified, references added, redaction improved, example D relegated to Supplemental Material.
Kevin Morand +2 more
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Background field method for nonlinear sigma models in nonrelativistic string theory
Journal of High Energy Physics, 2020 We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is ...
Ziqi Yan, Matthew Yu
doaj +1 more source
Applied Sciences, 2023 Electroencephalography (EEG) signals have diverse applications in brain-computer interfaces (BCIs), neurological condition diagnoses, and emotion recognition across healthcare, education, and entertainment domains.
Zubaidah Al-Mashhadani +4 more
doaj +1 more source
Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition [PDF]
SIAM Journal on Matrix Analysis and Applications, 2019 We present a new Riemannian metric, termed Log-Cholesky metric, on the manifold of symmetric positive definite (SPD) matrices via Cholesky decomposition. We first construct a Lie group structure and a bi-invariant metric on Cholesky space, the collection
Zhenhua Lin
semanticscholar +1 more source
RIEMANNIAN GEOMETRY OF HARTOGS DOMAINS [PDF]
International Journal of Mathematics, 2009 Let DF = {(z0, z) ∈ ℂn | |z0|2 < b, ||z||2 < F(|z0|2)} be a strongly pseudoconvex Hartogs domain endowed with the Kähler metric gF associated to the Kähler form [Formula: see text]. This paper contains several results on the Riemannian geometry of these domains. These are summarized in Theorems 1.1–1.3.
DI SCALA A. J +2 more
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Riemannian geometry of noncommutative surfaces [PDF]
Journal of Mathematical Physics, 2008 A Riemannian geometry of noncommutative n-dimensional surfaces is developed as a first step toward the construction of a consistent noncommutative gravitational theory. Historically, as well, Riemannian geometry was recognized to be the underlying structure of Einstein’s theory of general relativity and led to further developments of the latter.
Chaichian, M. +3 more
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A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings
Axioms, 2021 This article is devoted to geometrical aspects of conformal mappings of complete Riemannian and Kählerian manifolds and uses the Bochner technique, one of the oldest and most important techniques in modern differential geometry. A feature of this article
Vladimir Rovenski +2 more
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String Theory and Non-Riemannian Geometry.
Physical Review Letters, 2020 The O(D,D) covariant generalized metric, postulated as a truly fundamental variable, can describe novel geometries where the notion of Riemannian metric ceases to exist.
Jeong-Hyuck Park, S. Sugimoto
semanticscholar +1 more source
Nonassociative Riemannian geometry by twisting [PDF]
Journal of Physics: Conference Series, 2010 Many quantum groups and quantum spaces of interest can be obtained by cochain (but not cocycle) twist from their corresponding classical object. This failure of the cocycle condition implies a hidden nonassociativity in the noncommutative geometry already known to be visible at the level of differential forms.
Shahn Majid, Edwin J. Beggs
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Sub-Lorentzian Geometry on Anti-De Sitter Space [PDF]
, 2008 Sub-Riemannian Geometry is proved to play an important role in many applications, e.g., Mathematical Physics and Control Theory. The simplest example of sub-Riemannian structure is provided by the 3-D Heisenberg group.
Beals +19 more
core +2 more sources