Area Bounds for Minimal Surfaces that Pass Through a Prescribed Point in a Ball

Simon Brendle, Pei-Ken Hung

Type: Article

Publication Date: 2017-02-25

Citations: 13

DOI: https://doi.org/10.1007/s00039-017-0399-6

View Publication

Download PDF

Locations

arXiv (Cornell University) - View - PDF
Geometric and Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+	Area bounds for minimal surfaces that pass through a prescribed point in a ball	2016	Simon Brendle Pei-Ken Hung
+	A sharp bound for the area of minimal surfaces in the unit ball	2011	Simon Brendle
+ PDF Chat	A sharp bound for the area of minimal surfaces in the unit ball	2012	Simon Brendle
+	Area bounds for minimal surfaces in geodesic ball of hyperbolic space	2016	Jingze Zhu
+	Area of minimal hypersurfaces in the unit sphere	2021	Qing-Ming Cheng Guoxin Wei Yuting Zeng
+	Minimal Surfaces and the Bernstein Theorem	2017	Theodora Bourni Giuseppe Tinaglia
+	Widths of balls and free boundary minimal submanifolds	2022	Jonathan J. Zhu
+ PDF Chat	A surface area formula for compact hypersurfaces in $\mathbb{R}^{n}$	2024	Yen‐Chang Huang
+ PDF Chat	A two-piece property for free boundary minimal hypersurfaces in the $(n+1)$-dimensional ball	2024
+	The prescribed point area estimate for minimal submanifolds in constant curvature	2022	Keaton Naff Jonathan J. Zhu
+	A pinching theorem for minimal hypersurfaces in a sphere	2000	Thomas Hasanis Theodoros Vlachos
+	Minimal Hypersurfaces in an m-Sphere	1971	Bang‐Yen Chen
+	Minimal submanifolds in a sphere	1983	Pui-Fai Leung
+	Curvature-free upper bounds for the smallest area of a minimal surface	2006	Alexander Nabutovsky Regina Rotman
+	Area of Minimal Hypersurfaces in the Unit Sphere (II)	2024	Qing-Ming Cheng Junqi Lai Guoxin Wei
+	Sharp Area Bounds for Free Boundary Minimal Surfaces in Conformally Euclidean Balls	2015	Brian Freidin Peter McGrath
+	Sharp Area Bounds for Free Boundary Minimal Surfaces in Conformally Euclidean Balls	2015	Brian Freidin Peter McGrath
+ PDF Chat	Minimal Hypersurfaces with Arbitrarily Large Area	2019	Otis Chodosh Christos Mantoulidis
+	Minimal discrepancy points on the sphere	2019	Pol Ribera Baraut
+	Bernstein type theorems for minimal surfaces in $(\alpha,\beta)$-space	2009	Ningwei Cui Yibing Shen

Works That Cite This (13)

Action	Title	Year	Authors
+	Area bounds for free boundary minimal surfaces in a geodesic ball in the sphere	2019	Brian Freidin Peter McGrath
+	PIGTIKAL: puzzles in geometry that I know and love	2020	Anton Petrunin
+ PDF Chat	Moving-centre monotonicity formulae for minimal submanifolds and related equations	2017	Jonathan J. Zhu
+ PDF Chat	Superforms, supercurrents, minimal manifolds and Riemannian geometry	2019	Bo Berndtsson
+ PDF Chat	Sharp Area Bounds for Free Boundary Minimal Surfaces in Conformally Euclidean Balls	2018	Brian Freidin Peter McGrath
+	Minimal hypersurfaces and geometric inequalities	2020	Simon Brendle
+ PDF Chat	Minimal hypersurfaces and geometric inequalities	2023	Simon Brendle
+	Area Bounds for Free Boundary Minimal Surfaces in a Geodesic Ball in the Sphere	2018	Brian Freidin Peter McGrath
+ PDF Chat	Eldan’s Stochastic Localization and Tubular Neighborhoods of Complex-Analytic Sets	2017	Bo’az Klartag
+	Eldan's stochastic localization and tubular neighborhoods of complex-analytic sets	2017	Bo’az Klartag

Works Cited by This (5)

Action	Title	Year	Authors
+	Lectures on Geometric Measure Theory	1984	Leon Simon
+	Embeddedness of Minimal Surfaces with Total Boundary Curvature at Most 4p	2002	Tobias Ekholm Brian White Daniel Wienholtz
+ PDF Chat	A sharp bound for the area of minimal surfaces in the unit ball	2012	Simon Brendle
+	On the First Variation of a Varifold	1972	William K. Allard
+	Area Bounds for Various Classes of Surfaces	1975	H. Alexander Robert Osserman