Boundary curvature refers to the way in which the geometry of a shape or surface behaves at its edges. It is a crucial concept in understanding how the properties of a surface are influenced by its boundaries, especially in the context of surfaces with varying geometric characteristics. This concept is essential when discussing how curvature can impact topological features and contribute to important theorems in differential geometry, particularly those related to surfaces.
congrats on reading the definition of boundary curvature. now let's actually learn it.