Local non-intrinsic property of surface
In differential geometry, the study of surfaces involves understanding the intrinsic and extrinsic proper…
Read more »
Weingarten equations
Weingarten equations Weingarten equations is about derivative of the unit normal vector \( \vec{N…
Read more »
Double family of curves
Double family of curves Let S: \(\vec{r}=\vec{r}(u,v) \) be a surface then the quadratic differential…
Read more »
Orthogonal trajectories
Orthogonal trajectories Let S: \(\vec{r}=\vec{r}(u,v) \) be a surface with family of curves …
Read more »
Family of Curves
Family of Curves Let S: \(\vec{r}=\vec{r}(u,v)\) be a surface and \( \phi(u,v)=c\) (i) be a singl…
Read more »
Direction coefficients and related results
Let S:\(\vec{r}=\vec{r}(u,v)\) be a surface. Then tangent line to the surface is described b…
Read more »
Fundamental Forms of Surface
We recall that, space curve is uniquely determined by two local invariant quantities: curvature and torsion.Similarly, surface …
Read more »
