Geodesic
A Note on Equivariant Embeddings of Grassmannians
Publications de l'Institut Mathématique, _N_S_59 (1996) no. 73, p. 131

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Embeddings of Grassmannians realized by identification of a $k$-dimensional subspace of $\Bbb F^m$ with the orthogonal projection onto it are studied. It is shown that such an embedding has parallel second fundamental form and embeds the Grassmannian minimally into a hypersphere of certain Euclidean space of matrices. A result on holomorphic sectional curvature of the complex Grassmannian is also proved.
Classification : 53C40 53C42
Keywords: Riemannian manifold, embedding, Grassmannian, Hermitean matrices, geodesics, holomorphic curvature 
@article{PIM_1996_N_S_59_73_a10,
     author = {Ivko Dimitri\'c},
     title = {A {Note} on {Equivariant} {Embeddings} of {Grassmannians}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {131 },
     publisher = {mathdoc},
     volume = {_N_S_59},
     number = {73},
     year = {1996},
     zbl = {0965.53038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1996_N_S_59_73_a10/}
}
TY  - JOUR
AU  - Ivko Dimitrić
TI  - A Note on Equivariant Embeddings of Grassmannians
JO  - Publications de l'Institut Mathématique
PY  - 1996
SP  - 131 
VL  - _N_S_59
IS  - 73
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PIM_1996_N_S_59_73_a10/
LA  - en
ID  - PIM_1996_N_S_59_73_a10
ER  - 
%0 Journal Article
%A Ivko Dimitrić
%T A Note on Equivariant Embeddings of Grassmannians
%J Publications de l'Institut Mathématique
%D 1996
%P 131 
%V _N_S_59
%N 73
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PIM_1996_N_S_59_73_a10/
%G en
%F PIM_1996_N_S_59_73_a10
Ivko Dimitrić. A Note on Equivariant Embeddings of Grassmannians. Publications de l'Institut Mathématique, _N_S_59 (1996) no. 73, p. 131 . http://geodesic.mathdoc.fr/item/PIM_1996_N_S_59_73_a10/