Global properties of minimal surfaces in 𝑅³ and 𝐻³ and their Morse type indices

1993 ◽  
pp. 193-233 ◽  
Author(s):  
A. A. Tuzhilin
1974 ◽  
Vol 50 (2) ◽  
pp. 355-381 ◽  
Author(s):  
E. F. Beckenbach ◽  
Fook Eng ◽  
Richard Tafel

1964 ◽  
Vol 80 (2) ◽  
pp. 340 ◽  
Author(s):  
Robert Osserman

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Marcello Carioni ◽  
Alessandra Pluda

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.


2021 ◽  
Author(s):  
Antonio Alarcón ◽  
Franc Forstnerič ◽  
Francisco J. López
Keyword(s):  

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