On time evolution equations of tangent spherical image by inextensible flows

2019 ◽  
Author(s):  
Muhammed Talat Sarıaydın
Keyword(s):  
Time Evolution ◽  
Evolution Equations ◽  
Spherical Image ◽  
Inextensible Flows

New inextensible flows of principal normal spherical image

2017 ◽  
Vol 11 (01) ◽  
pp. 1850001 ◽  
Author(s):  
Talat Körpinar
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Spherical Image ◽  
Partial Differential ◽  
Geometric Properties ◽  
Inextensible Flows

In this work, we study normal spherical indicatrices (images) in terms of inextensible flows in [Formula: see text]. 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 [Formula: see text].

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