Results 71 to 80 of about 4,006,812 (300)

Teichmüller space is totally geodesic in Goldman space [PDF]

Asian Journal of Mathematics, 2016
We construct a new Riemannian metric on Goldman space $\mathcal{B}(S)$, the space of the equivalence classes of convex projective structures on the surface $S$, and then prove the new metric, as well as the metric of Darvishzadeh and Goldman, restricts to be the Weil-Petersson metric on Teichm$\ddot{u}$ller space, embedded as a submanifold of Goldman ...
openaire   +1 more source

Ant Diversity of the Xisha Islands: Community Structure, Exotic Species Colonization, and Ecological Functions in a Tropical Coral Archipelago

Biological Diversity, EarlyView.
The first inventory of ants from the Xisha Islands of the South China Sea was compiled, revealing 21 species: 70% native and 30% exotic. Anthropogenic disturbance primarily drove exotic colonization, whereas island area showed weak positive effects on species richness. Most ants were omnivorous, with key mutualistic and seed‐dispersal roles.
Hua‐Yan Chen, Zhi‐Xuan Liu, Zheng‐Hui Xu, Rui‐Chong Wang, Shi‐Xiao Luo   +4 more
wiley   +1 more source

Geodesic Structure of Standard Static Space-Times

, 2003
The geodesic structure of standard static space-times is studied and conditions are found which imply nonreturning and pseudoconvex geodesic systems.
Ünal, B, Allison, DE
core   +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

Exploring the Boundaries of Aromaticity in Complex Structures and Excited States Through Computational Analysis

Chemistry – A European Journal, EarlyView.
Understanding aromaticity has evolved from benzene‐centric concepts to a broad multidimensional framework spanning organic, inorganic, and excited‐state systems. This review highlights ambiguities between magnetic, electronic, geometric, and energetic descriptors, emphasizing the need for unified, multi‐criteria approaches.
Sílvia Escayola, Miquel Solà, Albert Poater   +2 more
wiley   +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

On the Space of Oriented Geodesics of Hyperbolic 3-Space

Rocky Mountain Journal of Mathematics, 2010
We construct a Kähler structure (${\mathbb{J}},Ω,{\mathbb{G}}$) on the space ${\mathbb{L}}({\mathbb{H}}^3)$ of oriented geodesics of hyperbolic 3-space ${\mathbb{H}}^3$ and investigate its properties. We prove that (${\mathbb{L}}({\mathbb{H}}^3),{\mathbb{J}})$ is biholomorphic to ${\mathbb{P}}^1\times{\mathbb{P}}^1-\barΔ$, where $\barΔ$ is the ...
Georgiou, Nikos, Guilfoyle, Brendan
openaire   +4 more sources

The life and work of Ernest Sydney Keeping

Canadian Journal of Statistics, EarlyView.
Abstract This article reviews the life and contributions of Ernest S. Keeping (1895–1984), a British‐born physicist who became a mathematics professor at the University of Alberta in 1929. He played a pivotal role in shaping the university's Mathematics Department, serving as its head from 1954 to 1961, and continuing to teach until 1970, nine years ...
David R. Bellhouse, Christian Genest
wiley   +1 more source

An investigation of strong edge geodesic number on m-polar fuzzy environment and its application.

PLoS ONE
For crisp graphs, the notion of edge geodesic numbers has been known for a long time. But lately, the focus has shifted to investigating this idea in fuzzy graphs, which has resulted in studies of a number of properties.
Tanmoy Mahapatra, Ebenezer Bonyah, Madhumangal Pal   +2 more
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source