Results 101 to 110 of about 4,865,824 (373)
Behavior of geodesic-length functions on Teichmüller space [PDF]
, 2007 Let T be the Teichmuller space of marked genus g, n punctured Riemann surfaces with its bordification T the augmented Teichmuller space of marked Riemann surfaces with nodes, (Abi77, Ber74).
S. Wolpert
semanticscholar +1 more source
Advancing Cave Survey Methods: High‐Precision Mapping in Drakotrypa Cave, Greece
Archaeological Prospection, EarlyView.ABSTRACT Cave floor mapping plays a vital role across various scientific disciplines by enabling the identification and interpretation of features shaped by both natural processes and human activity. In cave archaeology, floor mapping is crucial to decode and reconstruct human‐induced morphological features.
Christos Pennos +5 more
wiley +1 more source
Geodesic-Based Method for Improving Matching Efficiency of Underwater Terrain Matching Navigation
Sensors, 2019 In this study, we improved the matching efficiency of underwater terrain matching navigation. Firstly, a new geodesic-based method was developed by combining the law of the shortest arc in spherical geometry with the theory of the attitude control in ...
Zhaowei Li, Wei Zheng, Fan Wu
doaj +1 more source
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
The reach, metric distortion, geodesic convexity and the variation of tangent spaces
Journal of Applied and Computational Topology, 2019 In this paper we discuss three results. The first two concern general sets of positive reach: we first characterize the reach of a closed set by means of a bound on the metric distortion between the distance measured in the ambient Euclidean space and ...
J. Boissonnat +2 more
semanticscholar +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Mathematical Properties of the Hyperbolicity of Circulant Networks
Advances in Mathematical Physics, 2015 If X is a geodesic metric space and x1,x2,x3∈X, a geodesic triangle T={x1,x2,x3} is the union of the three geodesics [x1x2], [x2x3], and [x3x1] in X.
Juan C. Hernández +2 more
doaj +1 more source
Chern-Ricci invariance along G-geodesics
, 2017 Over a compact oriented manifold, the space of Riemannian metrics and normalised positive volume forms admits a natural pseudo-Riemannian metric $G$, which is useful for the study of Perelman's $\mathcal{W}$ functional.
Pali, Nefton
core +1 more source
Epilepsia, EarlyView.Abstract Objective Interictal epileptiform discharges (IEDs) observed on scalp electroencephalography (EEG) serve as a diagnostic hallmark of epilepsy. However, only a small fraction of IEDs recorded by intracranial EEG (iEEG) are detectable on the scalp; the vast majority remain invisible on scalp recordings.
Nicolas Roehri +7 more
wiley +1 more source
Geodesic gradient flows in moduli space
Journal of High Energy PhysicsGeodesics in moduli spaces of string vacua are important objects in string phenomenology. In this paper, we highlight a simple condition that connects brane tensions, including particle masses, with geodesics in moduli spaces.
Muldrow Etheredge, Ben Heidenreich
doaj +1 more source