The theory of two-dimensional manifolds of bounded curvature is a generalization of two-
dimensional Riemannian geometry. Formally a two-dimensional manifold of bounded …

Weyl posed the following problem in 1916 [21]: consider the 2-sphere S2 and suppose g is a
Riemannian metric on S2 whose Gauss curvature is everywhere positive. Does there exist a …

Isometric immersions of space forms into Riemannian and pseudo-Riemannian spaces of
constant curvature - IOPscience This site uses cookies. By continuing to use this site you agree …

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Menu Find a journal Publish with us Search Cart 1.Home 2.Journal of Mathematical Sciences …

We are concerned with the global weak rigidity of the Gauss–Codazzi–Ricci (GCR)
equations on Riemannian manifolds and the corresponding isometric immersions of …

The broad subject of this dissertation can be described as “the geometry of the second
fundamental form.” I have not restricted myself to a mere presentation of the handful new …

We establish the weak continuity of the Gauss-Coddazi-Ricci system for isometric
embedding with respect to the uniform $ L^ p $-bounded solution sequence for $ p> 2 …

В работе устанавливаются формулы для изометрических вложений и погружений лент
Мёбиуса с локально-евклидовой метрикой и изучаются внешне-геометрические …

To every algebraic subvariety of a complex torus there corresponds a Euclidean geometric
object called a c-fan. This correspondence determines an intersection theory for algebraic …

We prove that finite area isolated singularities of surfaces with constant positive curvature K>
0 in R3 are removable singularities, branch points or immersed conical singularities. We …