orientable manifold meaning in Hindi

Examples

1. Smooth structures on an orientable manifold are usually counted modulo orientation-preserving smooth homeomorphisms.
2. On non-orientable manifolds, one may instead define the weaker notion of a density.
3. This is an orientable manifold with boundary, upon which " surgery " will be performed.
4. The singular homology and cohomology groups of a closed, orientable manifold are related by Poincar?duality.
5. A manifold is orientable if it has a consistent choice of connected orientable manifold has exactly two different possible orientations.
6. A true non-orientable manifold has " closed paths " that take travelers from R to / .
7. The most familiar example is orientability : some manifolds are orientable, some are not, and orientable manifolds admit 2 orientations.
8. See also orientable manifold ( the article may be a bit advanced, but it formally pinpoints some of the above observations ).
9. An orientable manifold has infinitely many volume forms, since multiplying a volume form by a non-vanishing function yields another volume form.
10. Both bundles are 2-manifolds, but the annulus is an orientable manifold while the M�bius band is a non-orientable manifold.