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## Main Question or Discussion Point

what exactly are manifolds? I looked on wikipedia and I am getting the sense that its like n dimensional surface if that makes any sense.

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what exactly are manifolds? I looked on wikipedia and I am getting the sense that its like n dimensional surface if that makes any sense.

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See http://www.geocities.com/physics_world/gr_ma/introduction_to_manifolds.htmwhat exactly are manifolds? I looked on wikipedia and I am getting the sense that its like n dimensional surface if that makes any sense.

Pete

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Such an abstract concept! such a tough question!

The explanation of manifold on mathematics is very hard to understand! In my opinion, it is just a space which has been defined some properties, which can be used to simulate our spacetime.

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CompuChip

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Manifolds are sort of a generalization to arbitrary spaces. Technically, a manifold is defined as something that looks locally like a Euclidean space [itex]\mathbf{R}^n[/itex] (for some

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HallsofIvy

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An example two dimensional manifold is the surface of a doughnut, as contrasted with the normal (flat, infinite) two dimensional Euclidean space that you're familiar with. Every manifold can be described as a "(n-dimensional) surface" embedded (but curved) in some higher dimensional Euclidean space. The things that distinguish n-dimensional manifolds from normal n-dimensional space are "geometry" (once a metric is determined you may find that parallel lines do not remain equally separated, and the ratio of circumference to diameter may only be Pi for infinitesimally small circles) and "topology" (if you go in a straight line you may still end up back where you started).

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Thanks

Pete

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Projection.

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A poor man's simple definition, would just be to consider

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