homogeneous space वाक्य
उदाहरण वाक्य
मोबाइल
- Geometrically, the principal homogeneous spaces coming from elements of the Selmer group have " K " v-rational points for all places " v " of " K ".
- A principal homogeneous space of is a manifold abstractly characterized by having a exponential map of the Lie algebra and in this way obtain, locally, a group action on.
- In accordance with the Erlangen program, the geometry of Minkowski space is defined by the Poincar?group : Minkowski space is considered as a homogeneous space for the group.
- The problem is then to show that is a smooth function near ( since topological groups are homogeneous spaces, they look the same everywhere as they do near ).
- The subgroups for which the corresponding homogeneous space has an invariant complex structure correspond to parabolic subgroups in the complexification of the compact Lie group, a reductive algebraic group.
- This then specializes to the case when the specified fibre is a principal homogeneous space for the left action of the group on itself, yielding the associated principal bundle.
- The study of the properties of unipotent and quasiunipotent flows on homogeneous spaces remains an active area of research, with applications to further questions in the theory of Diophantine approximation.
- In other words, there is locally a diffeomorphism of into the homogeneous space, such that is the pullback of the Maurer & ndash; Cartan form along some section of the tautological bundle.
- Another line of development in which p . d . kernels played a large role was the theory of harmonics on homogeneous spaces as begun by unitary representations of locally compact groups.
- The geodesics emanating from the origin in the homogeneous spaces can be identified with one parameter groups with generators in i \ mathfrak { m } or \ mathfrak { m }.
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