Geometric Interpretations for Surfaces Using Technology
Project Type
Oral Presentation
Publication Date
4-29-2021
Department or Program
Department of Math
College
College of Arts and Sciences
Faculty Mentor #1
Chiang, Y. Jen
Abstract
This presentation is based on Math 491- Differential Geometries taken in Spring 2021. We first define the coordinate patch of a surface and provide a few examples of surfaces. Then we construct the tangent space and normal vector of a given a surface. Afterwards, we compute first fundamental form, second fundamental form and Christoffel symbol of a surface. Then we define mean curvature and Gaussian curvature of a surface. We also will discuss geodesic and parallel vector field of a surface. In the mean time, we will utilize Mathematica technology to sketch the graphs of various surfaces.
Rights
COinS