An extrinsic rigidity theorem for minimal surfaces inS 3

1985 ◽  
Vol 190 (2) ◽  
pp. 221-224
Author(s):  
Li An-Min
Keyword(s):  
Minimal Surfaces ◽  
Rigidity Theorem

scholarly journals A rigidity theorem for Riemann's minimal surfaces

1993 ◽  
Vol 43 (2) ◽  
pp. 485-502 ◽  
Author(s):  
Pascal Romon
Keyword(s):  
Minimal Surfaces ◽  
Rigidity Theorem

scholarly journals A rigidity theorem for properly embedded minimal surfaces in ${\bf R}\sp 3$

1990 ◽  
Vol 32 (1) ◽  
pp. 65-76 ◽  
Author(s):  
Hyeong In Choi ◽  
William H. Meeks, III ◽  
Brian White
Keyword(s):  
Minimal Surfaces ◽  
Rigidity Theorem

scholarly journals Scalar curvature on some open 3-manifolds

2021 ◽  
pp. 2140014
Author(s):  
G. Besson
Keyword(s):  
Scalar Curvature ◽  
Minimal Surfaces ◽  
Riemannian Metrics ◽  
Positive Scalar Curvature ◽  
Rigidity Theorem ◽  
Positive Scalar

This article is a survey of recent results about the existence of Riemannian metrics of positive scalar curvature on some open 3-manifolds. This results culminate in a rigidity theorem obtained using the theory of stable minimal surfaces.

A rigidity theorem for periodic minimal surfaces

1999 ◽  
Vol 7 (1) ◽  
pp. 95-104 ◽  
Author(s):  
Joaquín Pérez
Keyword(s):  
Minimal Surfaces ◽  
Rigidity Theorem

Indefinite rigidity of complex submanifolds and maximal surfaces

1989 ◽  
Vol 106 (3) ◽  
pp. 481-494 ◽  
Author(s):  
Kinetsu Abe ◽  
Martin A. Magid
Keyword(s):  
Minimal Surfaces ◽  
Complex Space ◽  
Real Space ◽  
Rigidity Theorem ◽  
Space Forms ◽  
Maximal Surfaces ◽  
Real Space Forms ◽  
Complex Submanifolds ◽  
Complex Space Forms

In 1953, Calabi proved a rigidity theorem for Kählerian submanifolds in complex space forms [3]. The Calabi rigidity theorem, since then, has been successfully applied to various areas in geometry. Among them is the study of minimal surfaces in real space forms; see [4] for example.

THE EXISTENCE OF SURFACE PATCHES FOR PERIODIC MINIMAL SURFACES

1990 ◽  
Vol 51 (C7) ◽  
pp. C7-265-C7-271 ◽  
Author(s):  
J. C.C. NITSCHE
Keyword(s):  
Minimal Surfaces ◽  
Surface Patches

scholarly journals On different notions of calibrations for minimal partitions and minimal networks in ℝ2

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Marcello Carioni ◽  
Alessandra Pluda
Keyword(s):  
Minimal Surfaces ◽  
Steiner Problem ◽  
Minimal Networks

Abstract Calibrations are a possible tool to validate the minimality of a certain candidate. They have been introduced in the context of minimal surfaces and adapted to the case of the Steiner problem in several variants. Our goal is to compare the different notions of calibrations for the Steiner problem and for planar minimal partitions that are already present in the literature. The paper is then complemented with remarks on the convexification of the problem, on nonexistence of calibrations and on calibrations in families.

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