This paper shows that the Grassmann Manifolds GF(n,N) can all be imbedded in an Euclidean space MF(N) naturally and the imbedding can be realized by the eigenfunctions of Laplacian Δ on GF(n,N). They are all minimal submanifolds in some spheres of MF(N) respectively. Using these imbeddings, we construct some degenerate Morse functions on Grassmann Manifolds, show that the homology of the complex and quaternion Grassmann Manifolds can be computed easily.</p
The topological structures of the generic smooth functions on a smooth manifold belong to the small ...
Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometri...
The book explores the possibility of extending the notions of "Grassmannian" and "Gauss map" to the ...
This paper shows that the Grassmann Manifolds GF(n,N) can all be imbedded in an Euclidean space MF(N...
Morse theory, a study in the intersection of differential geometry and algebraic topology, examines ...
Using the Plücker map between grassmannians, we study basic aspects of classic grassmannian geometri...
In this thesis we study the simplest types of generalized Grassmann varieties. The study involves d...
We study various topological properties of G-manifolds and G-complexes where G is a finite group. We...
This monograph covers in a unified manner new results on smooth functions on manifolds. A major topi...
A new paradigm for describing the shape of manifolds is presented,with a particular regard to applic...
A new paradigm for describing the shape of manifolds is presented,with a particular regard to applic...
AbstractBy [M. Golasiński, F. Gómez Ruiz, Polynomial and regular maps into Grassmannians, submitted]...
summary:Let $f:M\rightarrow G(m,n)$ be a harmonic map from surface into complex Grassmann manifold. ...
Many questions from a variety of areas of mathematics lead one to the problem of analyzing the topol...
Let FG<sub>nk</sub> denote the Grassmann manifold of all k-dimensional (left) F-vector subspace of F...
The topological structures of the generic smooth functions on a smooth manifold belong to the small ...
Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometri...
The book explores the possibility of extending the notions of "Grassmannian" and "Gauss map" to the ...
This paper shows that the Grassmann Manifolds GF(n,N) can all be imbedded in an Euclidean space MF(N...
Morse theory, a study in the intersection of differential geometry and algebraic topology, examines ...
Using the Plücker map between grassmannians, we study basic aspects of classic grassmannian geometri...
In this thesis we study the simplest types of generalized Grassmann varieties. The study involves d...
We study various topological properties of G-manifolds and G-complexes where G is a finite group. We...
This monograph covers in a unified manner new results on smooth functions on manifolds. A major topi...
A new paradigm for describing the shape of manifolds is presented,with a particular regard to applic...
A new paradigm for describing the shape of manifolds is presented,with a particular regard to applic...
AbstractBy [M. Golasiński, F. Gómez Ruiz, Polynomial and regular maps into Grassmannians, submitted]...
summary:Let $f:M\rightarrow G(m,n)$ be a harmonic map from surface into complex Grassmann manifold. ...
Many questions from a variety of areas of mathematics lead one to the problem of analyzing the topol...
Let FG<sub>nk</sub> denote the Grassmann manifold of all k-dimensional (left) F-vector subspace of F...
The topological structures of the generic smooth functions on a smooth manifold belong to the small ...
Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometri...
The book explores the possibility of extending the notions of "Grassmannian" and "Gauss map" to the ...
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