76 citations · 94 across the 3 of their papers we have counts for
12 papers · 1 filter
Gradient Kahler Ricci Solitons
Robert L. Bryant
Some observations about the local and global generality of gradient Kahler Ricci solitons are made, including the existence of a canonically associated holomorphic volume form and…
Real hypersurfaces in unimodular complex surfaces
Robert L. Bryant
A unimodular complex surface is a complex 2-manifold X endowed with a holomorphic volume form. A strictly pseudoconvex real hypersurface M in X inherits not only a CR-structure but…
Exterior Differential Systems and Euler-Lagrange Partial Differential Equations
Robert L. Bryant, Phillip A. Griffiths, Daniel A. Grossman
We use methods from exterior differential systems (EDS) to develop a geometric theory of scalar, first-order Lagrangian functionals and their associated Euler-Lagrange PDEs, subjec…
Some remarks on Finsler manifolds with constant flag curvature
Robert L. Bryant
This article is an exposition of four loosely related remarks on the geometry of Finsler manifolds with constant positive flag curvature. <p> The first remark is that there is a ca…
On surfaces with prescribed shape operator
Robert L. Bryant
The problem of immersing a simply connected surface with a prescribed shape operator is discussed. From classical and more recent work, it is known that, aside from some special de…
Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces
Robert L. Bryant
I use local differential geometric techniques to prove that the algebraic cycles in certain extremal homology classes in Hermitian symmetric spaces are either rigid (i.e., deformab…