Geometric analysis is an interdisciplinary field that combines techniques from differential geometry and mathematical analysis to study geometric structures and their properties. It involves the use of methods from calculus, partial differential equations, and topology to analyze geometric objects, often in the context of the curvature and other invariants of manifolds. Key areas of focus in geometric analysis may include: 1. **Differential Geometry:** The study of smooth manifolds and the properties of curves and surfaces.
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