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New inextensible flows of principal normal spherical image

Talat Körpinar

Department of Mathematics, Muş Alparslan University, 49250 Muş, Turkey

https://doi.org/10.1142/S1793557118500018Cited by:6 (Source: Crossref)

Abstract

In this work, we study normal spherical indicatrices (images) in terms of inextensible flows in $𝔼^{3}$ . We discuss the geometric properties of the normal spherical indicatrices. Furthermore, we give some new characterizations of curvatures in terms of some partial differential equations in $𝔼^{3}$ .

Communicated by J. Koppitz

Keywords:

AMSC: 31B30, 58E20

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