Deforming a hypersurface by principal radii of curvature and support function

Deforming Convex Hypersurfaces to a Hypersurface with Prescribed Harmonic Mean Curvature

Let F be a smooth convex and positive function defined in A = {x ∈ R : R1 < |x| < R2} satisfying F (x) ≥ nR2 on the sphere |x| = R2 and F (x) ≤ nR1 on the sphere |x| = R1. In this paper, a heat flow method is used to deform convex hypersurfaces in A to a hypersurface whose harmonic mean curvature is the given function F .

Curvature Groups of a Hypersurface

A cochain complex associated with the vector 1-form determined by the first and second fundamental tensors of a hypersurface M in E"+l is introduced. Its cohomology groups HP(M), called curvature groups, are isomorphic with the cohomology groups of M with coefficients in a subsheaf %R of the sheaf S of closed vector fields on M. If M is a minimal variety, the same conclusion is valid with S^ re...

Curvature of a Closed Hypersurface

Deforming Area Preserving Diffeomorphism of Surfaces by Mean Curvature Flow

Let f : Σ1 → Σ2 be an area preserving diffeomorphism between compact Riemann surfaces of constant curvature. The graph of f can be viewed as a Lagrangian submanifold in Σ1 × Σ2. This article discusses a canonical way to deform f along area preserving diffeomorphisms. This deformation process is realized through the mean curvature flow of the graph of f in Σ1 × Σ2. It is proved that the flow exi...

a genre analytic study of research papers written by bilingual writers and their beliefs: a case of persian-english writers

تحقیق حاضر گزارشی است از تحلیل بخش مقدمه دو دسته از مقالات که عبارتند از: 11 مقاله از دو نویسنده دوزبانه فارسی زبان, که شامل مقدمه 4 مقاله به زبان انگلیسی و چاپ شده در مجلات بین المللی, مقدمه 3 مقاله به زبان انگلیسی و 4 مقاله به زبان فارسی چاپ شده در مجلات داخلی می شود؛ و 12 مقاله از محققان خارجی که در مجله applied linguistics به چاپ رسیده است. مبنای تئوری این تحلیل ها نظریه سوئلز (1990) یا هما...