Description

• Title:
  Submersje konforemne o włóknach umbilikalnych
• Creator:
  Zawadzki, Tomasz
• Contributor:
  Uniwersytet Łódzki, Wydział Matematyki i Informatyki;
  zawadzki@math.uni.lodz.pl
• Description:
  Tomasz Zawadzki, Existence conditions for conformal submersions with totally umbilical fibers, Differential Geometry and its Applications, Volume 35, Supplement, September 2014, Pages 69-85, ISSN 0926-2245, http://dx.doi.org/10.1016/j.difgeo.2014.01.010;
  Conformal submersions are natural generalisation of Riemannian submersions, introduced by O'Neill (1966). Using methods of Riemannian geometry, curvature relations between the domain and the image of such submersion were examined. Integral formulae were obtained and some existence conditions for conformal submersions with totally umbilical fibers were derived. Also, natural constructions and examples of those mappings were sought, without exploiting their obvious relation to Riemannian submersions. The above research may be summarized as investigating foliations and distributions of special extrinsic geometry, considered on Riemannian manifolds.
• Object availability:
  free access
• Date:
  2015.05.29;
  2015;
  2015.06.17
• Type:
  PhD/Doctoral Dissertation
• Language:
  Polish
• Format:
  application/pdf
• Subject:
  conformal submersion;
  foliation;
  Riemannian geometry
• Identifier: http://hdl.handle.net/11089/9207
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  seek permission
• Type:
  text