Decide if the following sets are manifolds and say why. If there are exceptional points at which
Question:
(a) Phase space of Hamiltonian mechanics, the space of the canonical coordinates and momenta pi and qi;
(b) The interior of a circle of unit radius in two-dimensional Euclidean space;
(c) The set of permutations of n objects;
(d) The subset of Euclidean space of two dimensions (coordinates x and y) which is a solution to xy (x2 + y2 − 1) = 0.
Step by Step Answer:
Decide if the following sets are manifolds and say why If there are exceptional points at which the sets are not manifolds give them We are given only ...View the full answer
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