Results 41 to 50 of about 7,179 (171)

GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES

Forum of Mathematics, Sigma, 2014
We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as for ...
MARTINS BRUVERIS, PETER W. MICHOR, DAVID MUMFORD   +2 more
doaj   +1 more source

Sleep Alters the Velocity of Physiological Brain Pulsations in Humans

Advanced Science, EarlyView.
Sleep alters I/CSF oscillatory flow, driven by increased respiratory (29%) and vasomotor pulsation (21%) velocities, while cardiovascular pulsations decreased by (22%). Velocity is quantified using optical flow analysis of MREG data. Spectral power increases alongside these pulsations (spatial correlation, r = 0.35 and r = 0.39, respectively ...
Ahmed Elabasy, Heta Helakari, Tommi Väyrynen, Zalán Rajna, Niko Huotari, Lauri Raitamaa, Ville Isokoski, Matti Järvelä, Mika Kaakinen, Johanna Piispala, Mika Kallio, Vesa Korhonen, Tapio Seppänen, Vesa Kiviniemi   +13 more
wiley   +1 more source

Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations

European Physical Journal C: Particles and Fields, 2022
For the gravitational wave model based on the type III Shapovalov wave space-time, test particle trajectories and the exact solution of geodesic deviation equations for the Bianchi type VII universe are obtained. Based on the found 4-vector of deviation,
Konstantin Osetrin, Evgeny Osetrin, Elena Osetrina   +2 more
doaj   +1 more source

Asymptotic Behavior of Resolvents of a Convergent Sequence of Convex Functions on Complete Geodesic Spaces

Axioms, 2022
The asymptotic behavior of resolvents of a proper convex lower semicontinuous function is studied in the various settings of spaces. In this paper, we consider the asymptotic behavior of the resolvents of a sequence of functions defined in a complete ...
Yasunori Kimura, Keisuke Shindo
doaj   +1 more source

Integrated Single‐Cell and Spatial Transcriptomics Reveal Cell‐Type‐Specific Immune Regulatory Networks in Maize Responding to Southern Corn Rust

Advanced Science, EarlyView.
By integrating single‐nuclei and spatial transcriptomics, this study presents a stereoscopic landscape of maize leaf to Puccinia polysora infection. Epidermal and mesophyll cells initiate primary defenses via RLPs/RLKs and jasmonic acid signaling. Cell‐cell communication analyses further reveal the underlying the dynamics of the underlying immune ...
Qiongqiong Wang, Xinyan Sun, Yingchao Sun, Zeqiang Cheng, Zixiang Cheng, Shengbo Han, Ying Feng, Wenbo Yang, Huimin Li, Meichen Zhu, Xiaoling Wu, Jinghua Zhang, Jihua Tang, Honglian Li, Yanyong Cao, Canxing Duan, Yan Shi   +16 more
wiley   +1 more source

Convex (α, β)-Generalized Contraction and Its Applications in Matrix Equations

Axioms, 2023
This paper investigates the existence and convergence of solutions for linear and nonlinear matrix equations. This study explores the potential of convex (α,β)-generalized contraction mappings in geodesic spaces, ensuring the existence of solutions for ...
Rahul Shukla, Winter Sinkala
doaj   +1 more source

CR-submanifolds of a locally conformal Kaehler space form

International Journal of Mathematics and Mathematical Sciences, 1994
(Bejancu [1,2]) The purpose of this paper is to continue the study of CR-submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]).
M. Hasan Shahid
doaj   +1 more source

On geodesic mappings of symmetric pairs

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
The paper treats properties of pseudo-Riemannian spaces admitting non-trivial geodesic mappings. A symmetric pair of pseudo-Riemannian spaces is a pair of spaces with coinciding values of covariant derivatives for their Riemann tensors. It is proved that
Volodymyr Kiosak, Olexandr Lesechko, Olexandr Latysh   +2 more
doaj   +1 more source

On geometric polygroups

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper, we introduce a geodesic metric space called generalized Cayley graph (gCay(P,S)) on a finitely generated polygroup. We define a hyperaction of polygroup on gCayley graph and give some properties of this hyperaction.
Arabpur F., Jafarpour M., Aminizadeh M., Hoskova-Mayerova S.   +3 more
doaj   +1 more source

Geodesics in Asymmetric Metric Spaces

Analysis and Geometry in Metric Spaces, 2014
Abstract In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of paths, introduced the class of run-continuous paths; and noted that there are different definitions of “length spaces” (also known as “path-metric spaces” or “intrinsic spaces”).
openaire   +3 more sources