= Robert L. Bryant
{c}
<Robert L. Bryant> studies <differential geometry> and geometric <partial differential equations>. His Duke research statement describes the use of geometric structures to understand differential equations.https://sites.math.duke.edu/~bryant/research.html[Author research statement]{ref}
His <An Introduction to Lie Groups and Symplectic Geometry by Robert L. Bryant> develops <symplectic reduction> and its compatibility with the geometry of <Kähler manifolds>. In the scalar-circle example, reduction of a complex vector space at a positive level yields <Complex projective space>. The construction explains how imposing a constraint and identifying points along a symmetry can produce a new geometric space.<An Introduction to Lie Groups and Symplectic Geometry by Robert L. Bryant>[Lecture 8, Theorem 3 and projective-space example, pp. 135–138]{ref}
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