Journal of Mathematical Sciences

, Volume 201, Issue 5, pp 634–644 | Cite as

From Gårding’s Cones to p-Convex Hypersurfaces

  • N. M. IvochkinaEmail author


We consider cones discovered by Gårding in 1959. They play the fundamental role in the modern theory of fully nonlinear second-order partial differential equations. A new classification of symmetric matrices is presented based on the m-positiveness property. Such a classification establishes a new trend in geometry, generating a notion of m-convex hypersurfaces.


Dirichlet Problem Principal Curvature Symmetric Matrice Convex Hypersurface Hyperbolic Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.St.-Petersburg State University of Architecture and Civil Engineering 4St.-PetersburgRussia

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