Helgason spheres of compact symmetric spaces and immersions of finite type

Minimal Immersions of Symmetric Spaces into Spheres

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Tight Equivariant Immersions of Symmetric Spaces

Introduction. Let G/K be a compact, irreducible symmetric space and Q = f+p the Lie algebra of G. If ir is a non trivial real class-one representation of G on E with O^e, infixed, then the map TlG/K —*E given by gK—*ir{g)e gives an immersion of G/K into E. The purpose of this note is to announce the classification of such immersions with minimal absolute curvature (i.e., are tight) [ l ] , [4]....

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

k-SYMMETRIC AKS SYSTEMS AND FLAT IMMERSIONS INTO SPHERES

We define a large class of integrable nonlinear PDE’s, k-symmetric AKS systems, whose solutions evolve on finite dimensional subalgebras of loop algebras, and linearize on an associated algebraic curve. We prove that periodicity of the associated algebraic data implies a type of quasiperiodicity for the solution, and show that the problem of isometrically immersing n-dimensional Euclidean space...