submanifold sentence in Hindi
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- All theses cases dealt with the situation where the contact manifold is a contact submanifold of a symplctic manifold.
- An important corollary is that every complex submanifold of a K�hler manifold is volume minimizing in its homology class.
- The submanifold topology on an immersed submanifold need not be the relative topology inherited from " M ".
- The submanifold topology on an immersed submanifold need not be the relative topology inherited from " M ".
- Sharpe ( 1997 ) defines a type of submanifold which lies somewhere between an embedded submanifold and an immersed submanifold.
- Sharpe ( 1997 ) defines a type of submanifold which lies somewhere between an embedded submanifold and an immersed submanifold.
- Sharpe ( 1997 ) defines a type of submanifold which lies somewhere between an embedded submanifold and an immersed submanifold.
- The solution of this partial differential equation system is the submanifold \ Sigma of the contact system to \ Sigma.
- If this is the case, then is not an embedded submanifold of, but may instead be an immersed submanifold.
- If this is the case, then is not an embedded submanifold of, but may instead be an immersed submanifold.
- The evolute of a curve, a surface, or more generally a submanifold, is the caustic of the normal map.
- Assume that the moment map is proper and that it achieves its maximum m exactly along a symplectic submanifold Z of X.
- On a dense open subset of the semialgebraic set " S ", it is ( locally ) a submanifold.
- Let f : X \ rightarrow Y be a smooth map between manifolds, and let Z be a submanifold of Y.
- The volume of 3D submanifold that contains part of spin network is given by a sum of contributions from each node inside it.
- The covariant derivative of a vector in a submanifold of a Riemannian manifold need not equal the induced covariant derivative of that vector.
- A submanifold is said to be umbilic ( or all-umbilic ) if this condition holds at every point " p ".
- A Lagrangian submanifold is, by definition, an isotropic submanifold of maximal dimension, namely half the dimension of the ambient symplectic manifold.
- A Lagrangian submanifold is, by definition, an isotropic submanifold of maximal dimension, namely half the dimension of the ambient symplectic manifold.
- In other words, an embedding is diffeomorphic to its image, and in particular the image of an embedding must be a submanifold.
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