Results 51 to 60 of about 1,746 (220)

Total curvature of curves in Riemannian manifolds

Differential Geometry and its Applications, 2010
The global properties of the curvature of curves embedded in \({\mathbb{R}}^2\) or in \({\mathbb{R}}^3\) have been studied in many papers. In the present paper, these properties are studied for curves embedded in arbitrary Riemannian manifolds. The integral curvature of a curve is approached using geodesic polygons inscribed in the curve.
Castrillón López, M., Fernández Mateos, V., Muñoz Masqué, J.   +2 more
openaire   +1 more source

Entropy rigidity for cusped Hitchin representations

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary, Tengren Zhang, Andrew Zimmer   +2 more
wiley   +1 more source

Geometry of Manifolds and Applications

Mathematics
This editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
doaj   +1 more source

How Far Are Two Symmetric Matrices From Commuting? With an Application to Object Characterisation and Identification in Metal Detection

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger, W. R. B. Lionheart, J. Elgy   +2 more
wiley   +1 more source

On curvature tensors of Norden and metallic pseudo-Riemannian manifolds

Complex Manifolds, 2019
We study some properties of curvature tensors of Norden and, more generally, metallic pseudo-Riemannian manifolds. We introduce the notion of J-sectional and J-bisectional curvature of a metallic pseudo-Riemannian manifold (M, J, g) and study their ...
Blaga Adara M., Nannicini Antonella
doaj   +1 more source

Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds

AIMS Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Definition and Computation of Tensor‐Based Generalized Function Composition

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley   +1 more source

Optimal inequalities involving Casorati curvatures for Riemannian maps to nearly Kaehler manifolds

Journal of Inequalities and Applications
We establish a general inequality and optimal inequalities involving the normalized Casorati curvatures and the generalized normalized Casorati curvatures within the horizontal space of a Riemannian map from a Riemannian manifold to a nearly Kaehler ...
Tanveer Fatima, Reetu Maini, Garima Gupta, Rakesh Kumar, Rashmi Sachdeva, Rachna Rani   +5 more
doaj   +1 more source

ON RIEMANNIAN MANIFOLDS OF CONSTANT NEGATIVE CURVATURE [PDF]

Journal of the Korean Mathematical Society, 2011
In this paper, we study the fundamental group and orbits of cohomogeneity two Riemannian manifolds of constant negative curvature.
openaire   +1 more source

A complex network perspective on brain disease

Biological Reviews, Volume 101, Issue 1, Page 364-399, February 2026.
ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley   +1 more source