This is the first post in a new series based on the recent topics I’m reading. The theme will be to study complex Monge-Ampere type equations that will solve important problems in geometry. A typical and famous example of this would be the Calabi-Yau theorem. This was proved by Yau in 1978 and since then […]
We come across vector spaces equipped with an inner-product frequently. But instead of an inner product, we could have a skew-symmetric and non-degenerate bilinear form on it. Such spaces are called as symplectic vector spaces. More formally, Definition: Let be an -dimensional real vector space and be a bilinear map such that 1. . (skew-symmetry) […]