The Gaussian curvature via the contact angle of immersed surfaces into the Euclidean three sphere

1Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

The aim of this paper is to present a relation for the Gaussian curvature of an immersed surface M2 of the Euclidean sphere S3 which involves the contact angle. This allows us to conclude that its Gaussian is flat provided its contact angle is constant. Moreover, we deduce that the Clifford tori are the unique surfaces with constant mean curvature having such propriety. © 2013 Elsevier B.V.

Cite

CITATION STYLE

APA

Gomes, J. N. V. (2013). The Gaussian curvature via the contact angle of immersed surfaces into the Euclidean three sphere. Differential Geometry and Its Application, 31(5), 691–697. https://doi.org/10.1016/j.difgeo.2013.07.001

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free