2025 | Foliations by critical surfaces of the Hawking energy in asymptotically flat Initial data sets | Foliations by critical surfaces of the Hawking energy in asymptotically flat Initial data sets
Zeitschrift: To appear in Communications in Analysis and Geometry
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2025 | Rigidity and positivity of Hawking quasi-local energy on area-constrained critical surfaces | Alejandro Peñuela Diaz
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2025 | Energy in Fourth Order Gravity | Rodrigo Avalos, Jorge H. Lira, Nicolas Marque
Zeitschrift: Ann. Henri Poincaré 26, 597–673 (2025)
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2024 | \(C^0\)-inextendibility of FLRW spacetimes within a subclass of axisymmetric spacetimes | Melanie Graf, Marco van den Beld-Serrano
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2024 | Uniqueness of Maximal Spacetime Boundaries | Melanie Graf and Marco van den Beld-Serrano
Zeitschrift: Ann. Henri Poincaré 25 (2024), 4771–4807
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2024 | Huisken-Yau-type uniqueness for area-constrained Willmore spheres | Michael Eichmair, Thomas Koerber, Jan Metzger, Felix Schulze
Zeitschrift: Duke Math. J. 173 (2024), no. 9, 1677–1730.
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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
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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
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2022 | Rigidity Theorems for Asymptotically Euclidean \(Q\)-singular Spaces | R. Avalos, P. Laurain, N. Marque
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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
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2022 | Concentration of Small Hawking Type Surfaces | Alexander Friedrich
Zeitschrift: Differential Geometry and its Applications
Seiten: 101927
Band: 85
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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
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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.
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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
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2017 | Isoperimetric structure of asymptotically conical manifolds | Otis Chodosh, Michael Eichmair, and Alexander Volkmann
Zeitschrift: J. Differential Geom.
Seiten: 1-19
Band: 105
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2016 | Jenkins-Serrin-type results for the Jang equation | Michael Eichmair and Jan Metzger
Zeitschrift: J. Differential Geom.
Seiten: 207–242
Band: 102
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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
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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
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2013 | Large isoperimetric surfaces in asymptotically flat manifolds | Michael Eichmair and Jan Metzger
Zeitschrift: J. Differential Geom.
Seiten: 159-186
Band: 94
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2013 | Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions | Michael Eichmair and Jan Metzger
Zeitschrift: Invent. Math.
Seiten: 591-630
Band: 194
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2013 | Willmore flow of surfaces in Riemannian spaces I: Concentration-compactness | J. Metzger, G. Wheeler, and V.-M. Wheeler
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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
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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
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2011 | On type-I singularities in Ricci flow | Jörg Enders, Reto Müller, Peter Topping
Zeitschrift: Comm. Anal. Geom.
Seiten: 905-922
Band: 19
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2010 | Surfaces with maximal constant mean curvature | Jan Metzger
Zeitschrift: Comm. Anal. Geom.
Seiten: 627-647
Band: 18
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2010 | Small surfaces of Willmore type in Riemannian manifolds | Tobias Lamm and Jan Metzger
Zeitschrift: Intl. Math. Res. Notices
Seiten: 3786-3813
Band: 2010
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2010 | Blowup of Jang’s equation at outermost marginally trapped surfaces | Jan Metzger
Zeitschrift: Comm. Math. Phys.
Seiten: 61-72
Band: 294
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