- #1
steve1763
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- TL;DR Summary
- Geometry of given line element
i'm trying to find what sort of 2-d geometry this system is in, I've been given the line element
ππ 2=βsinπcosπsinπcosπ[ππ2+ππ2]+(sin2πsin2π+cos2πcos2π)ππππ
where
0β€π<2π
and
0β€π<π/2
Im just not sure where to start. I've tried converting the coordinates to cartesian to see if it yields a recognisable line element (which didn't work), integrating over theta and phi (but I am not sure how one would recognise the geometry from this), any help would be much appreciated.
Thanks.
ππ 2=βsinπcosπsinπcosπ[ππ2+ππ2]+(sin2πsin2π+cos2πcos2π)ππππ
where
0β€π<2π
and
0β€π<π/2
Im just not sure where to start. I've tried converting the coordinates to cartesian to see if it yields a recognisable line element (which didn't work), integrating over theta and phi (but I am not sure how one would recognise the geometry from this), any help would be much appreciated.
Thanks.