Results 51 to 60 of about 7,179 (171)

Resolvents for Convex Functions on Geodesic Spaces and Their Nonspreadingness

Axioms
The convex optimization problems have been considered by many researchers on geodesic spaces. In these problems, the resolvent operators play an important role.
Takuto Kajimura, Yasunori Kimura, Fumiaki Kohsaka   +2 more
doaj   +1 more source

Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space 𝔾₃

Mathematics, 2023
This paper is about deriving the necessary and sufficient conditions of a surface family pair with a Bertrand pair as common geodesic curves in Galilean 3-space G3. Thereafter, the consequence for the ruled surface family pair is also deduced. Meanwhile,
Areej A. Almoneef, Rashad A. Abdel-Baky
doaj   +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

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, José M. Rodríguez, José M. Sigarreta   +2 more
doaj   +1 more source

Geodesic gradient flows in moduli space

Journal of High Energy Physics
Geodesics 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

Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space

Mathematics
This paper presents the results concerning a space of invariants for second type almost geodesic mappings. After discussing the general formulas of invariants for mappings of symmetric affine connection spaces, based on these formulas, invariants for ...
Nenad O. Vesić, Dušan J. Simjanović, Branislav M. Randjelović   +2 more
doaj   +1 more source

Strolling along gravitational vacua

Journal of High Energy Physics, 2020
We consider General Relativity (GR) on a space-time whose spatial slices are compact manifolds M with non-empty boundary ∂M. We argue that this theory has a non-trivial space of ‘vacua’, consisting of spatial metrics obtained by an action on a reference ...
Emine Şeyma Kutluk, Ali Seraj, Dieter Van den Bleeken   +2 more
doaj   +1 more source

Explicit geodesics in Gromov-Hausdorff space

Electronic Research Announcements, 2018
We provide an alternative, constructive proof that the collection $\mathcal{M}$ of isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance is a geodesic space. The core of our proof is a construction of explicit geodesics on $\mathcal{M}$. We also provide several interesting examples of geodesics on $\mathcal{M}$, including
Chowdhury, Samir, Mémoli, Facundo
openaire   +4 more sources

Counting closed geodesics in moduli space

Journal of Modern Dynamics, 2011
We compute the asymptotics, as R tends to infinity, of the number of closed geodesics in Moduli space of length at most R, or equivalently the number of pseudo-Anosov elements of the mapping class group of translation length at most R.
Eskin, Alex, Mirzakhani, Maryam
openaire   +2 more sources

Geodesic Completeness of Generalized Space-times [PDF]

, 2015
8 pages, v3: minor corrections, final ...
Sämann, Clemens, Steinbauer, Roland
openaire   +3 more sources