Results 41 to 50 of about 62,448 (173)

A Simplified Algorithm for Inverting Higher Order Diffusion Tensors

Axioms, 2014
In Riemannian geometry, a distance function is determined by an inner product on the tangent space. In Riemann–Finsler geometry, this distance function can be determined by a norm.
Laura Astola, Neda Sepasian, Tom Dela Haije, Andrea Fuster, Luc Florack   +4 more
doaj   +1 more source

Curvature in Noncommutative Geometry

, 2020
Our understanding of the notion of curvature in a noncommutative setting has progressed substantially in the past ten years. This new episode in noncommutative geometry started when a Gauss-Bonnet theorem was proved by Connes and Tretkoff for a curved ...
A Buium, A Connes, A Connes, A Connes, A Connes, A Connes, A Connes, A Connes, A H Chamseddine, A W Knapp, Ali H. Chamseddine, B Iochum, F Fathi Zadeh, F Fathizadeh, F Fathizadeh, F Fathizadeh, F Fathizadeh, Farzad Fathizadeh, H P McKean Jr, M Atiyah, M Khalkhali, M Lesch, M Lesch, M Wodzicki, M. Adler, Mark Kac, Masoud Khalkhali, P B Gilkey, R. Hoegh-Krohn, S Minakshisundaram, S Paycha, T A Bhuyain, Y Liu   +32 more
core   +1 more source

Compatible Metrics of Constant Riemannian Curvature: Local Geometry, Nonlinear Equations, and Integrability

Functional Analysis and Its Applications, 2002
12 ...
openaire   +3 more sources

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

An existence theorem for G-structure preserving affine immersions [PDF]

, 2006
We prove an existence result for local and global G-structure preserving affine immersions between affine manifolds. Several examples are discussed in the context of Riemannian and semi-Riemannian geometry, including the case of isometric immersions into
Daniel, Paolo Piccione, V. Tausk
core   +1 more source

Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number

, 2017
We obtain estimates of the multiplicative constants appearing in local convergence results of the Riemannian Gauss-Newton method for least squares problems on manifolds and relate them to the geometric condition number of [P. B\"urgisser and F.
Breiding, Paul, Vannieuwenhoven, Nick
core   +1 more source

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

A Riemannian Dichotomizer Approach on Symmetric Positive Definite Manifolds for Offline, Writer-Independent Signature Verification

Applied Sciences
Automated handwritten signature verification continues to pose significant challenges. A common approach for developing writer-independent signature verifiers involves the use of a dichotomizer, a function that generates a dissimilarity vector with the ...
Nikolaos Vasilakis, Christos Chorianopoulos, Elias N. Zois   +2 more
doaj   +1 more source

The local symmetries of M-theory and their formulation in generalised geometry

, 2011
In the doubled field theory approach to string theory, the T-duality group is promoted to a manifest symmetry at the expense of replacing ordinary Riemannian geometry with generalised geometry on a doubled space.
A Coimbra, A Kleinschmidt, B Julia, B Wit de, C Albertsson, C Albertsson, C Hillmann, C Hull, C Hull, C Hull, D Andriot, David S. Berman, DC Thompson, DS Berman, DS Berman, DS Berman, E Cremmer, G Aldazabal, H Nicolai, Hadi Godazgar, I Jeon, I Jeon, I Jeon, I Jeon, J Thierry-Mieg, JW Barrett, M Graña, Mahdi Godazgar, Malcolm J. Perry, N Hitchin, N Obers, O Hohm, O Hohm, O Hohm, O Hohm, O Hohm, O Hohm, O Hohm, P West, P West, PC West, PC West, PC West, PC West, PP Pacheco, T Courant, T Kugo, W Siegel, W Siegel   +48 more
core   +1 more source

SDFs from Unoriented Point Clouds using Neural Variational Heat Distances

Computer Graphics Forum, EarlyView.
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier, Florine Hartwig, Josua Sassen, Sergio Conti, Mirela Ben‐Chen, Martin Rumpf   +5 more
wiley   +1 more source