quotient manifold造句

• Equivalently, one says that the quotient manifold \ Complex / \ Lambda is a torus.
• The Riemannian volume form associated to g defines a Haar measure on G and we see that the quotient manifold is of finite Riemannian volume if and only if \ Gamma is a lattice.
• They can all be represented in an essentially unique way as Seifert fiber spaces : the quotient manifold is a sphere and there are 3 exceptional fibers of orders 2, 3, and 3.
• They can all be represented in an essentially unique way as Seifert fiber spaces : the quotient manifold is a sphere and there are 3 exceptional fibers of orders 2, 3, and 4.
• They can all be represented in an essentially unique way as Seifert fiber spaces : the quotient manifold is a sphere and there are 3 exceptional fibers of orders 2, 3, and 5.
• Even better, we can place a Riemannian metric on this quotient manifold, turning it into a three-dimensional Riemannian manifold, in such a way that the metric has a simple operational significance.
• However, over very small distances, it is symmetric, so it can be used to define the " Landau-Lifschitz metric " on the quotient manifold obtained using the congruence of world lines of the Langevin observers.