Project details

Welcome to our homepage for the FWF project P21032-N18, Uniqueness Results for Extremal Quadrics!

Funding agency Austrian Science Foundation (FWF)
Project leader Hans-Peter Schröcker
Duration 10/2008–09/2011
Amount €99.760,50

Read the project abstract for more information about our aims and scope.

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Publications

  1. Matthias J. Weber, Hans-Peter Schröcker: Davis' Convexity Theorem and Extremal Ellipsoids, Beitr. Algebra Geom., vol. 51, no. 1, 263–274, 2010.
    [abstract] [BibTeX] [html] [preprint] [ZBL] [MR]
  2. Matthias J. Weber, Hans-Peter Schröcker: Minimal Area Conics in the Elliptic Plane. Adv. in Geom. 14(4), 665–684, 2012.
    [abstract] [BibTeX] [preprint]
  3. Matthias J. Weber, Hans-Peter Schröcker: Minimal Area Ellipses in the Hyperbolic Plane. Beitr. Algebra Geom. 54(1), 181–200, 2013.
    [abstract] [BibTeX] [preprint]

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Talks

  1. Matthias J. Weber: Uniqueness Results for Extremal Ellipsoids. Conference on Geometry: Theory and Applications, Pilsen, 6/2009
    [slides]
  2. Matthias J. Weber: Minimal area conics in the elliptic plane. 2nd Croation Conference on Geometry and Graphics, Sibenik, 9/2010
    [slides]
  3. Matthias J. Weber: Uniqueness Results for Extremal Quadrics - Minimal area ellipses in the hyperbolic plane. Conference on Geometry: Theory and Applications, Vorau, 6/2011
    [slides]
  4. Matthias J. Weber: Uniqueness Results for Extremal Quadrics. OeMG - CSASC 2011, Krems, 9/2011
    [slides]

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Publications

  1. Hans-Peter Schröcker: Minimal Enclosing Hyperbolas of Line Sets, Beitr. Algebra Geom., vol. 48, no. 2, 367–381, 2007.
    [abstract] [BibTeX] [ZBL] [MR] [publisher's site] [preprint]
  2. Peter M. Gruber: Application of an idea of Voronoi to John type problems, Adv. in Math., vol. 218, no. 2, 309–351, 2008.
    [ZBL] [MR] [DOI]
  3. Hans-Peter Schröcker: Uniqueness Results for Minimal Enclosing Ellipsoids, Comput. Aided Geom. Design, vol. 25, no. 9, 756–762, 2008.
    [abstract] [BibTeX] [ZBL] [MR] [DOI] [preprint]
  4. Peter M. Gruber: John and Loewner Ellipsoids, Discrete Comput. Geom., vol. 46, no. 4, 776–788, 2008.
    [DOI]

Talks

  1. Hans-Peter Schröcker: Uniqueness results for minimal enclosing quadrics. Conference on Geometry: Theory and Applications, Vorau, 6/2007
    [slides]

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