Loading [MathJax]/jax/output/SVG/config.js
Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2024, Volume 20, 014, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2024.014 (Mi sigma2016) 		 
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary

Alessandro Carlottoa, Chao Lib

a Università di Trento, Dipartimento di Matematica, via Sommarive 14, 38123 Trento, Italy
b New York University – Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY 10012, USA
Full-text PDF (418 kB)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2024.014
Abstract: We study notions of isotopy and concordance for Riemannian metrics on manifolds with boundary and, in particular, we introduce two variants of the concept of minimal concordance, the weaker one naturally arising when considering certain spaces of metrics defined by a suitable spectral “stability” condition. We develop some basic tools and obtain a rather complete picture in the case of surfaces.
Keywords: positive scalar curvature, isotopy, concordance, free boundary minimal surfaces.
Funding agency Grant number
European Research Council 947923
National Science Foundation DMS-2202343
This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 947923). C.L. was supported by an NSF grant (DMS-2202343).
Received: July 3, 2023; in final form January 31, 2024; Published online February 13, 2024
Document Type: Article
MSC: 53C21, 53A10
Language: English
Citation: Alessandro Carlotto, Chao Li, “A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary”, SIGMA, 20 (2024), 014, 13 pp.
Citation in format AMSBIB
\Bibitem{CarLi24}
\by Alessandro~Carlotto, Chao~Li
\paper A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
\jour SIGMA
\yr 2024
\vol 20
\papernumber 014
\totalpages 13
\mathnet{http://mi.mathnet.ru/sigma2016}
\crossref{https://doi.org/10.3842/SIGMA.2024.014}
Linking options:
  • https://www.mathnet.ru/eng/sigma2016
  • https://www.mathnet.ru/eng/sigma/v20/p14
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:53
    Full-text PDF :24
    References:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025