Pubfacts - Scientific Publication Data
  • Categories
  • |
  • Journals
  • |
  • Authors
  • Login
  • Categories
  • Journals

Search Our Scientific Publications & Authors

Publications
  • Publications
  • Authors
find publications by category +
Translate page:

Lorentzian length spaces.

Authors:
Michael Kunzinger Clemens Sämann

Ann Glob Anal Geom (Dordr) 2018 5;54(3):399-447. Epub 2018 Oct 5.

Faculty of Mathematics, University of Vienna, Vienna, Austria.

We introduce an analogue of the theory of length spaces into the setting of Lorentzian geometry and causality theory. The rôle of the metric is taken over by the time separation function, in terms of which all basic notions are formulated. In this way, we recover many fundamental results in greater generality, while at the same time clarifying the minimal requirements for and the interdependence of the basic building blocks of the theory. A main focus of this work is the introduction of synthetic curvature bounds, akin to the theory of Alexandrov and CAT()-spaces, based on triangle comparison. Applications include Lorentzian manifolds with metrics of low regularity, closed cone structures, and certain approaches to quantum gravity.

Download full-text PDF

Source
http://dx.doi.org/10.1007/s10455-018-9633-1DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6397614PMC
October 2018

Publication Analysis

Top Keywords

length spaces
8
quantum gravity
4
generality time
4
cat-spaces based
4
basic notions
4
alexandrov cat-spaces
4
notions formulated
4
theory alexandrov
4
formulated recover
4
akin theory
4
recover fundamental
4
bounds akin
4
fundamental greater
4
curvature bounds
4
greater generality
4
synthetic curvature
4
based triangle
4
time clarifying
4
introduction synthetic
4
clarifying minimal
4

Keyword Occurance

Similar Publications

Neuronal energy use and brain evolution.

Authors:
Tania Quintela-López Hiroko Shiina David Attwell

Curr Biol 2022 Jun;32(12):R650-R655

Department of Neuroscience, Physiology and Pharmacology, University College London, Gower Street, London WC1E 6BT, UK. Electronic address:

Consider how advantageous it might be to have eyes on our hands, rather than on our faces: depth perception would be improved by the greater distance between the eyes, and it would be easy to look into relatively inaccessible spaces by appropriate movement of the hands. The absence of mammals that use this visual strategy draws attention to constraints on how evolution is able to 'design' the nervous system. Energy use in particular, in this case the large amount of energy that would be needed to send visual information along the ∼10 optic nerve axons over the length of the arms to the brain (instead of along the much shorter optic nerve), imposes significant design constraints on the nervous system. Read More

View Article and Full-Text PDF
June 2022
Similar Publications

Relationship Between Paravascular Abnormalities and Choroidal Thickness in Young Highly Myopic Adults.

Authors:
Menghan Li Luyao Ye Guangyi Hu Qiuying Chen Dandan Sun Haidong Zou Jiangnan He Jianfeng Zhu Ying Fan Xun Xu

Transl Vis Sci Technol 2022 Jun;11(6):18

Department of Preventative Ophthalmology, Shanghai Eye Disease Prevention and Treatment Center, Shanghai Eye Hospital, Shanghai, China.

Purpose: The purpose of this study was to investigate the clinical characteristics of paravascular abnormalities (PVAs) and retinoschisis, and their associations with choroidal thickness (ChT) in young highly myopic (HM) adults.

Methods: A total number of 645 eyes were included. Paravascular microfolds (PMs), paravascular cystoid spaces (PCs), paravascular lamellar holes (PLHs), and retinoschisis were detected using swept-source optical coherence tomography. Read More

View Article and Full-Text PDF
June 2022
Similar Publications

I-circular codes.

Authors:
Lutz Strüngmann Martin Starman

Biosystems 2022 Jun 13;219:104716. Epub 2022 Jun 13.

Center for Algorithmic and Mathematical Methods in Medicine, Biology, and Biotechnology, Mannheim University of Applied Sciences, 68163 Mannheim, Germany. Electronic address:

A message such as mRNA, which consists of continuous characters without separators (such as commas or spaces), can easily be decoded incorrectly if it is read in the wrong reading frame. One construct to theoretically avoid these reading frame errors is the class of block codes. However, the first hypothesis of Watson and Crick (1953) that block codes are used as a tool to avoid reading frame errors in coding sequences already failed because the four periodical codons AAA, CCC, GGG and UUU seem to play an important role in protein coding sequences. Read More

View Article and Full-Text PDF
June 2022
Similar Publications

Early Spondyloarthritis Clinic: Organizational Improvements in the Patient Journey.

Authors:
Salvatore D'Angelo Antonella Afeltra Fabiola Atzeni Elena Baldissera Maurizio Caminiti Francesco Ciccia Maria Antonietta D'Agostino Lorenzo Dagna Gian Luca Erre Franco Franceschini Enrico Fusaro Roberto Giacomelli Elisa Gremese Giuliana Guggino Claudia Lomater Ennio Lubrano Angela Anna Padula Giuseppa Pagano Mariano Romualdo Russo Piercarlo Sarzi Puttini Raffaele Scarpa Carlo Selmi Enrico Tirri Stefano Ferri Florenzo Iannone

Front Med (Lausanne) 2022 24;9:833139. Epub 2022 May 24.

Dipartimento di Emergenza e Trapianto d'Organi, U.O.C. Reumatologia Universitaria, Clinica Reumatologica, Scuola di Specializzazione in Reumatologia, Bari, Italy.

Spondyloarthritis are chronic inflammatory diseases affecting spine, peripheral joints and enthesis, as well as extra-articular sites (bowel, eyes, skin). Diagnosis of spondyloarthritis often is slow and requires a multidisciplinary approach. The "Early SpA Clinic" project aimed at improving the patient care and journeys, by solving some organizational issues existing in Rheumatology Clinics. Read More

View Article and Full-Text PDF
May 2022
Similar Publications

Association Between Large Numbers of Enlarged Perivascular Spaces in Basal Ganglia and Motor Performance in Elderly Individuals: A Cross-Sectional Study.

Authors:
Shuna Yang Xuanting Li Wei Qin Lei Yang Wenli Hu

Clin Interv Aging 2022 2;17:903-913. Epub 2022 Jun 2.

Department of Neurology, Beijing Chaoyang Hospital, Capital Medical University, Beijing, People's Republic of China.

Background And Objective: Motor dysfunction is common in the elderly, and is associated with adverse consequences. Enlarged perivascular spaces in basal ganglia (BG-EPVSs) are considered an MRI marker of cerebral small-vessel diseases. However, the consequences of BG-EPVSs are largely unknown. Read More

View Article and Full-Text PDF
June 2022
Similar Publications
}
© 2022 PubFacts.
  • About PubFacts
  • Privacy Policy
  • Sitemap