Bibliographic Details
| Title: |
From the second gradient operator and second class of integral theorems to Gaussian or spherical mapping invariants. |
| Authors: |
Ya-jun Yin1,2 yinyj@mail.tsinghua.edu.cn, Ji-ye Wu1, Ke-zhi Huang1, Qin-shan Fan2 |
| Source: |
Applied Mathematics & Mechanics. Jul2008, Vol. 29 Issue 7, p855-862. 8p. 4 Diagrams. |
| Subjects: |
Integral theorems, Curvature, Geometric surfaces, Mathematical invariants, Geometry |
| Abstract: |
By combining of the second gradient operator, the second class of integral theorems, the Gaussian-curvature-based integral theorems and the Gaussian (or spherical) mapping, a series of invariants or geometric conservation quantities under Gaussian (or spherical) mapping are revealed. From these mapping invariants important transformations between original curved surface and the spherical surface are derived. The potential applications of these invariants and transformations to geometry are discussed. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
