Willmore surfaces in Riemannian manifolds

• Applicants: Professor Dr. Tobias Lamm; Professor Dr. Jan Metzger
• Subject Area: Mathematics
• Term: from 2013 to 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 245965278

• Final Report Year: 2020

Final Report Abstract

No abstract available

Publications

• Optimal rigidity estimates for nearly umbilical surfaces in arbitrary codimension. Geom. Funct. Anal., 24(6):2029–2062, 2014
  T. Lamm and R. M. Schätzle
  (See online at https://doi.org/10.1007/s00039-014-0303-6)
• Rigidity and non-rigidity results for conformal immersions. Adv. Math., 281:1178–1201, 2015
  T. Lamm and R. M. Schätzle
  (See online at https://doi.org/10.1016/j.aim.2015.06.006)
• A note on Willmore minimizing Klein bottles in Euclidean space. Adv. Math., 319:67–75, 2017
  J. Hirsch and E. Mäder-Baumdicker
  (See online at https://doi.org/10.1016/j.aim.2017.08.021)
• Existence of minimizing Willmore Klein bottles in Euclidean four-space. Geom. Topol., 21(4):2485–2526, 2017
  P. Breuning, J. Hirsch, and E. Mäder-Baumdicker
  (See online at https://doi.org/10.2140/gt.2017.21.2485)
• Isoperimetric structure of asymptotically conical manifolds. J. Differential Geom., 105(1):1–19, 2017
  O. Chodosh, M. Eichmair, and A. Volkmann
  (See online at https://doi.org/10.4310/jdg/1483655857)
• Conformal Willmore tori in R4. J. Reine Angew. Math., 742:281–301, 2018
  T. Lamm and R. M. Schätzle
  (See online at https://doi.org/10.1515/crelle-2015-0101)
• Local foliation of manifolds by surfaces of willmore type. 2018. Ann. Inst. Fourier (Grenoble)
  T. Lamm, J. Metzger, and F. Schulze
  
• Concentration of small hawking type surfaces. 2019
  A. Friedrich
  
• Minimizers of Generalized Willmore Energies and Applications in General Relativity. PhD thesis, Universität Potsdam, September 2019
  A. Friedrich
  
• Minimizers of generalized willmore functionals. 2019
  A. Friedrich
  
• Refined position estimates for surfaces of willmore type in riemannian manifolds. 2019
  J. Metzger