Description

• Title:
  On conformal submersions with geodesic or minimal fibers
• Creator:
  Zawadzki, Tomasz
• Contributor:
  Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland;
  tomasz.zawadzki@wmii.uni.lodz.pl
• Description:
  We prove that every conformal submersion from a round sphere onto an Einstein manifold with fbers being geodesics is—up to an isometry—the Hopf fbration composed with a conformal difeomorphism of the complex projective space of appropriate dimension. We also show that there are no conformal submersions with minimal fbers between manifolds satisfying certain curvature assumptions.
• Object availability:
  free access
• Rights:
  Uznanie autorstwa 4.0 Międzynarodowe;
  http://creativecommons.org/licenses/by/4.0
• Date:
  2021.08.25;
  2020
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Springer
• Relation:
  Annals of Global Analysis and Geometry;58
• Subject:
  Conformal submersions;
  Foliations;
  Einstein metrics
• Identifier:
  Zawadzki, T. On conformal submersions with geodesic or minimal fibers. Ann Glob Anal Geom 58, 191–205 (2020). https://doi.org/10.1007/s10455-020-09720-x;
  1572-9060;
  http://hdl.handle.net/11089/38827 ;
  0232-704X;
  10.1007/s10455-020-09720-x
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image