DIFFERENTIAL GEOMETRY WARPED PRODUCT MANIFOLD & SUBMANIFOLD

Viac o knihe

Warpped product manifolds are a key concept in both geometry and mathematical physics, particularly in general relativity. These manifolds feature a metric tensor that can be expressed as a Cartesian product, with the x-part being rescaled by a scalar function dependent on the y coordinates. This framework is crucial for understanding various solutions to the Einstein field equations, such as the Schwarzschild solution and Robertson-Walker models, highlighting their significance in the study of the universe's structure.