Results 11 to 20 of about 29,766 (132)
We generalize the Zermelo navigation on Riemannian manifolds (M; h), admitting a space dependence of a ship's speed 0 < |u(x)|h ≤ 1 in the presence of a perturbation W̃ determined by a strong (critical) velocity vector field satisfying |W̃ (x)|h = |u(x ...
Kopacz Piotr
doaj +1 more source
Geometric thermodynamics: black holes and the meaning of the scalar curvature [PDF]
In this paper we show that the vanishing of the scalar curvature of Ruppeiner-like metrics does not characterize the ideal gas. Furthermore, we claim through an example that flatness is not a sufficient condition to establish the absence of interactions ...
del Castillo, Gerardo F. Torres +2 more
core +2 more sources
Enhanced Stiffness Modeling and Identification Method for a Cable-Driven Spherical Joint Module
A cable-driven manipulator (CDM) has low stiffness and its stiffness identification is a critical issue. This paper focuses on stiffness modeling and identification for a cable-driven spherical joint module (CSJM), whose trajectory is a curve on SO(3 ...
Kaisheng Yang +7 more
doaj +1 more source
Critical metrics for Riemannian curvature functionals [PDF]
78 pages, 1 ...
openaire +2 more sources
Moduli spaces of critical Riemannian metrics in dimension four
24 pages, to appear in Advances in ...
Tian, Gang, Viaclovsky, Jeff
openaire +2 more sources
Generalized Cylinders in Semi-Riemannian and Spin Geometry [PDF]
We use a construction which we call generalized cylinders to give a new proof of the fundamental theorem of hypersurface theory. It has the advantage of being very simple and the result directly extends to semi-Riemannian manifolds and to embeddings into
Andrei Moroianu +6 more
core +5 more sources
Rigidity theorems for submetries in positive curvature [PDF]
a
Chen, X., Grove, K.
core +1 more source
The Conformal Willmore Functional: a Perturbative Approach
The conformal Willmore functional (which is conformal invariant in general Riemannian manifold $(M,g)$) is studied with a perturbative method: the Lyapunov-Schmidt reduction.
A. Ambrosetti +21 more
core +1 more source
On the semi-Riemannian bumpy metric theorem
We prove the semi-Riemannian bumpy metric theorem using equivariant variational genericity. The theorem states that, on a given compact manifold $M$, the set of semi-Riemannian metrics that admit only nondegenerate closed geodesics is generic relatively ...
Biliotti, Leonardo +2 more
core +1 more source
Abstract Objective This study was undertaken to develop and validate an artificial intelligence (AI) diagnostic tool using hybrid electroencephalographic (EEG)–video signals for automatic epileptic spasms (ES) detection. Methods This retrospective cohort study with internal cross‐validation and multicenter external validation was conducted from July ...
Lin Wan +15 more
wiley +1 more source

