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A Boundary-Local Mass Cocycle and the Mass of Asymptotically Hyperbolic Manifolds. [PDF]

Commun Math Phys
Čap A, Gover AR.
europepmc   +1 more source

Information Geometry and Manifold Learning: A Novel Framework for Analyzing Alzheimer's Disease MRI Data. [PDF]

Diagnostics (Basel)
Akgüller Ö, Balcı MA, Cioca G.
europepmc   +1 more source

A Cortical-Inspired Contour Completion Model Based on Contour Orientation and Thickness. [PDF]

J Imaging
Galyaev I, Mashtakov A.
europepmc   +1 more source

Riemannian Hypersurfaces with Constant Scalar Curvature In a Hessian Manifolds of Constant Curvature

, 2009
Münevver Yıldırım Yılmaz, Mehmet Bektaş, Mahmut Ergüt   +2 more
openalex   +1 more source

Local Well-Posedness of the Skew Mean Curvature Flow for Small Data in d≧2 Dimensions. [PDF]

Arch Ration Mech Anal
Huang J, Tataru D.
europepmc   +1 more source

Optimizing Open Radio Access Network Systems with LLAMA V2 for Enhanced Mobile Broadband, Ultra-Reliable Low-Latency Communications, and Massive Machine-Type Communications: A Framework for Efficient Network Slicing and Real-Time Resource Allocation. [PDF]

Sensors (Basel)
Tahir HA, Alayed W, Hassan WU, Do TD.
europepmc   +1 more source

Oscillations in Wave Map Systems and Homogenization of the Einstein Equations in Symmetry. [PDF]

Arch Ration Mech Anal
Guerra A, Teixeira da Costa R.
europepmc   +1 more source

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Curvature in Riemannian Manifolds

2020
Since the notion of curvature can be defined for curves and surfaces, it is natural to wonder whether it can be generalized to manifolds of dimension n ≥ 3. Such a generalization does exist and was first proposed by Riemann. However, Riemann’s seminal paper published in 1868 two years after his death only introduced the sectional curvature, and did not
Jean Gallier, Jocelyn Quaintance
openaire   +3 more sources

Long-Time Behaviour of Interaction Models on Riemannian Manifolds with Bounded Curvature

Journal of Geometric Analysis, 2022
We investigate the long-time behaviour of solutions to a nonlocal partial differential equation on smooth Riemannian manifolds of bounded sectional curvature.
R. Fetecau, Hansol Park
semanticscholar   +1 more source