Lectures related to Submanifold

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

Introduces tangent spaces to submanifolds and their properties in optimization on manifolds.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Introduces the concept of a submanifold in a linear space, defining it as a set smoothly embedded in the space.

Covers adjunctions, projective varieties, regularity, and valuative criteria in algebraic geometry.