Geodesic
Symmetry and geometric evolution equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 36, Tome 318 (2004), pp. 135-146

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The paper contains analytic description of geometric flows generated by nonlinear curvature functions in terms of invariant symmetric curvature matrix. Such approach provides the most efficient application of ideas and methods of the modern theory of fully nonlinear second order partial differential equations to the relevant geometric problems. 
@article{ZNSL_2004_318_a7,
     author = {N. M. Ivochkina},
     title = {Symmetry and geometric evolution equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {135--146},
     publisher = {mathdoc},
     volume = {318},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_318_a7/}
}
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N. M. Ivochkina. Symmetry and geometric evolution equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 36, Tome 318 (2004), pp. 135-146. http://geodesic.mathdoc.fr/item/ZNSL_2004_318_a7/