Consider the 2-dimensional hyperbolic space with metric ds² dr²+dy² = with y > 0. The geodesic equations are: b. d²x dx² dy = [(#)² - (*)²] = ☐ a. d²x dx² = O and = 0 y dλ 2 dx dy = O and y dλ dλ + d²y O and [(*)² ☐ c. d²x dx² ☐ d²x dx² = dx dy +1 (4+)² = 0 d²y 0 d. ² + 1 = 0 and 2 + } [ ( * )² + (#)'] = • y dλ dλ dx² y dy ग्र 0
Consider the 2-dimensional hyperbolic space with metric ds² dr²+dy² = with y > 0. The geodesic equations are: b. d²x dx² dy = [(#)² - (*)²] = ☐ a. d²x dx² = O and = 0 y dλ 2 dx dy = O and y dλ dλ + d²y O and [(*)² ☐ c. d²x dx² ☐ d²x dx² = dx dy +1 (4+)² = 0 d²y 0 d. ² + 1 = 0 and 2 + } [ ( * )² + (#)'] = • y dλ dλ dx² y dy ग्र 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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