Publikationen

Wichtigste Publikationen

M. Eichmair and J. Metzger
Jenkins-Serrin-Spruck type results for the Jang's equation
J. Differential Geom. 102(2016) 207–242. arXiv:1205.4301 [math.DG].
M. Eichmair and J. Metzger
Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions
Inventiones mathematicae 194 (2013), 591--630.
arXiv:1204.6065 [math.DG].
M. Eichmair and J. Metzger
Large isoperimetric surfaces in asymptotically flat manifolds
J. Differential Geom. 94 (2013), 159--186.
arXiv:1102.2999 [math.DG].
M. Eichmair and J. Metzger
On large volume preserving stable constant mean curvature surfaces in initial data sets
J. Differential Geom. 91 (2012) 81-102.
arXiv:1102.3001 [math.DG].
T. Lamm, J. Metzger and F. Schulze
Foliations of asymptotically flat manifolds by surfaces of Willmore type
Mathematische Annalen 350 (2011) 1-78.
arXiv:0903.1277 [math.DG].

2024 | Anisotropic examples of inflation-generating initial conditions for the big bang | Eric Ling, Annachiara Piubello
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2023 | On the Rigidity of Cosmological Space-times | Rodrigo Avalos
Zeitschrift: Letters in Mathematical Physics Verlag: Springer Seiten: 98 Band: 113 Link zur Publikation , Link zum Preprint

2023 | Local foliations by critical surfaces of the Hawking energy and small sphere limit | Alejandro Penuela Diaz
Zeitschrift: Classical and Quantum Gravity Seiten: 035002 Band: 40 Link zur Publikation , Link zum Preprint

2022 | Local space time constant mean curvature and constant expansion foliations | Jan Metzger, Alejandro Peñuela Diaz
Zeitschrift: Journal of Geometry and Physics Volume 188, June 2023, 104823 Link zur Publikation , Link zum Preprint

2022 | Concentration of Small Hawking Type Surfaces | Alexander Friedrich
Zeitschrift: Differential Geometry and its Applications Seiten: 101927 Band: 85 Link zur Publikation , Link zum Preprint

2022 | Huisken-Yau-type uniqueness for area-constrained Willmore spheres | Michael Eichmair, Thomas Koerber, Jan Metzger, Felix Schulze
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2022 | Rigidity Theorems for Asymptotically Euclidean $Q$-singular Spaces | R. Avalos, P. Laurain, N. Marque
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2021 | Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass | Armando J. Cabrera Pacheco, Carla Cederbaum, Penelope Gehring, Alejandro Peñuela Diaz
Zeitschrift: Journal of Geometry and Physics Seiten: 104746 Link zur Publikation , Link zum Preprint

2021 | Energy in Fourth Order Gravity | Rodrigo Avalos, Jorge H. Lira, Nicolas Marque
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2020 | Energy Estimates for the Tracefree Curvature of Willmore Surfaces and Applications | Yann Bernard, Paul Laurain, Nicolas Marque
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2019 | Refined position estimates for surfaces of Willmore type in Riemannian manifolds | Jan Metzger
Zeitschrift: Comm. Anal. Geom.30(2022), no.10, 2315–2346. Link zur Publikation , Link zum Preprint

2019 | Minimizers of Generalized Willmore Functionals | Alexander Friedrich
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2018 | Local foliation of manifolds by surfaces of Willmore type | Tobias Lamm, Jan Metzger, Felix Schulze
Zeitschrift: Ann. Inst. Fourier Seiten: 1639–1662 Band: 70 Link zur Publikation , Link zum Preprint

2017 | Isoperimetric structure of asymptotically conical manifolds | Otis Chodosh, Michael Eichmair, and Alexander Volkmann
Zeitschrift: J. Differential Geom. Seiten: 1-19 Band: 105 Link zur Publikation

2016 | Jenkins-Serrin-type results for the Jang equation | Michael Eichmair and Jan Metzger
Zeitschrift: J. Differential Geom. Seiten: 207–242 Band: 102 Link zum Preprint

2015 | Null mean curvature flow and outermost MOTS | Theodora Bourni, Kristen Moore
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2015 | The merger of small and large black holes | P. Mösta; L. Andersson; J. Metzger; B. Szilágyi; J. Winicour
Zeitschrift: Classical Quantum Gravity Seiten: 235003, 20 pp. Band: 32

2014 | On the evolution of hypersurfaces by their inverse null mean curvature | Kristen Moore
Zeitschrift: J. Differential Geom. Seiten: 425-466 Band: 98 Link zur Publikation

2013 | Minimizers of the Willmore functional with a small area constraint | Tobias Lamm and Jan Metzger
Zeitschrift: Annales de l’Institut Henri Poincaré / Analyse non linéaire Seiten: 497-518 Band: 30 Link zur Publikation

2013 | Large isoperimetric surfaces in asymptotically flat manifolds | Michael Eichmair and Jan Metzger
Zeitschrift: J. Differential Geom. Seiten: 159-186 Band: 94 Link zur Publikation

2013 | Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions | Michael Eichmair and Jan Metzger
Zeitschrift: Invent. Math. Seiten: 591-630 Band: 194 Link zur Publikation

2013 | Willmore flow of surfaces in Riemannian spaces I: Concentration-compactness | J. Metzger, G. Wheeler, and V.-M. Wheeler
Link zum Preprint

2012 | On large volume preserving stable constant mean curvature surfaces in initial data sets | Michael Eichmair and Jan Metzger
Zeitschrift: J. Differential Geom. Seiten: 81-102 Band: 91 Link zur Publikation

2011 | Foliations of asymptotically flat manifolds by surfaces of Willmore type | Tobias Lamm, Jan Metzger and Felix Schulze
Zeitschrift: Math. Ann. Seiten: 1-78 Band: 350 Link zur Publikation

2011 | On type-I singularities in Ricci flow | Jörg Enders, Reto Müller, Peter Topping
Zeitschrift: Comm. Anal. Geom. Seiten: 905-922 Band: 19 Link zur Publikation

2010 | Surfaces with maximal constant mean curvature | Jan Metzger
Zeitschrift: Comm. Anal. Geom. Seiten: 627-647 Band: 18 Link zur Publikation

2010 | Small surfaces of Willmore type in Riemannian manifolds | Tobias Lamm and Jan Metzger
Zeitschrift: Intl. Math. Res. Notices Seiten: 3786-3813 Band: 2010 Link zur Publikation

2010 | Blowup of Jang’s equation at outermost marginally trapped surfaces | Jan Metzger
Zeitschrift: Comm. Math. Phys. Seiten: 61-72 Band: 294 Link zur Publikation