NUMERICAL GEODESICS IN A 3-DIMENSIONAL RIEMANNIAN MANIFOLD

• 발행기관: 충청수학회
• 저자명: Jong Ryul Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 38, No. 2, 147~160쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2025.05.31

국문 초록

We find geodesics numerically in a coordinate chart of a 3-dimensional Riemannian manifold by using Runge-Kutta method with Python.

목차

1. Introduction

2. Numerical geodesics on the 3-dimensional Poincar'e disk and Poincar'e upper half plane

3. Appendix

References

키워드

Poincar'e disk Runge-Kutta method geodesic equations line element

참고문헌

• J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math.
• J. Chungcheong Math. Soc.