Definition of Pseudoholomorphic. Meaning of Pseudoholomorphic. Synonyms of Pseudoholomorphic

- In mathematics, specifically in topology and geometry, a pseudoholomorphic curve (or J-holomorphic curve) is a smooth map from a Riemann surface into...
- geometry and pseudoholomorphic curves in symplectic geometry: Geodesics are curves of shortest length (locally), while pseudoholomorphic curves are surfaces...
- of pseudoholomorphic curves in an almost complex manifold with a uniform energy bound must have a subsequence which limits to a pseudoholomorphic curve...
- invariants are rational numbers that, in certain situations, count pseudoholomorphic curves meeting prescribed conditions in a given symplectic manifold...
- compactness theorem (topology) on the existence of limits of sequences of pseudoholomorphic curves This disambiguation page lists mathematics articles ****ociated...
- More precisely, they intersect if they are connected via one or more pseudoholomorphic curves. Gromov–Witten invariants, which count these curves, appear...
- Mean curvature flow Minimal submanifolds Positive energy theorems Pseudoholomorphic curves Ricci flow Yamabe problem Yang–Mills equations Jackson, Allyn...
- and general relativity Institutions Princeton University Thesis Pseudoholomorphic Curves in Almost Complex Manifolds  (1999) Doctoral advisor Lev Vil'evich...
- the product of spheres, can be computed using Gromov's theory of pseudoholomorphic curves. Unlike Riemannian manifolds, symplectic manifolds are not...
- loops) to the symplectic manifold of interest; solutions are known as pseudoholomorphic curves. The Gromov compactness theorem is then used to show that the...