Between Dec 19, 2024 and Jan 2, 2025, datasets can be submitted to DRUM but will not be processed until after the break. Staff will not be available to answer email during this period, and will not be able to provide DOIs until after Jan 2. If you are in need of a DOI during this period, consider Dryad or OpenICPSR. Submission responses to the UDC may also be delayed during this time.
 

Some Remarks on Deformations of Minimal Surfaces

Rosenberg, H.
Toubiana, E.
1983
Thumbnail Image

View/Download File

44.pdf (138.08 KB)

Persistent link to this item

https://hdl.handle.net/11299/4881
Statistics
View Statistics

Journal Title

Journal ISSN

Volume Title

Title

Some Remarks on Deformations of Minimal Surfaces

Authors

Published Date

1983

Publisher

Type

Abstract

We consider complete minimal surfaces (c.m.s.'s) in R3 and their deformations. M1 is an deformation of M0 if M1 is a graph over M0 in an tubular neighborhood of M1 and M1 is - C1 close to M0. A c.m.s. M0 is isolated if all minimal surfaces M1, which are sufficiently small deformations of M0, are congruent to M0. Many of the classical minimal surfaces in R3 are known to be isolated [2]; however, no example was known of a nonisolated minimal surface.

Keywords

Description

Related to

Institute for Mathematics and Its Applications>IMA Preprints Series

Replaces

License

Collections

IMA Preprints Series

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Other identifiers

Suggested citation

Rosenberg, H.; Toubiana, E.. (1983). Some Remarks on Deformations of Minimal Surfaces. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4881.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.