The index of a Riemannian symmetric space is the minimal codimension of a proper totally geodesic submanifold. There is a conjecture for how to calculate the index. In this paper we give an affirmative answer to this conjecture for the exceptional Riemannian symmetric spaces and for the classical symmetric spaces Sp(r)/U(r). Our methodology is new and based on the idea of using slice representations for studying totally geodesic submanifolds.Fil: Berndt, Jürgen. King's College London; Reino UnidoFil: Olmos, Carlos Enrique. King's College London; Reino Unido. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Có...
AbstractWe investigate the totally geodesic Radon transform which assigns a function to its integrat...
AbstractIn [T. Kimura, M.S. Tanaka, Totally geodesic submanifold in compact symmetric spaces of rank...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN042992 / BLDSC - British Library D...
In 1980, Oniˇsˇcik ([23]) introduced the index of a Riemannian symmetricspace as the minimal codimen...
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension o...
Abstract. Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal cod...
Abstract. Let M be an irreducible Riemannian symmetric space. The index of M is the minimal codimens...
Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, F...
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension o...
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a R...
We gave a complete list of totally geodesic submanifolds of maximal rank in symmetric spaces of nonc...
AbstractIn this article, relations between the root space decomposition of a Riemannian symmetric sp...
AbstractIn [T. Kimura, M.S. Tanaka, Totally geodesic submanifold in compact symmetric spaces of rank...
We introduce a new technique to the study and identification of submanifolds of simply-connected sym...
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a R...
AbstractWe investigate the totally geodesic Radon transform which assigns a function to its integrat...
AbstractIn [T. Kimura, M.S. Tanaka, Totally geodesic submanifold in compact symmetric spaces of rank...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN042992 / BLDSC - British Library D...
In 1980, Oniˇsˇcik ([23]) introduced the index of a Riemannian symmetricspace as the minimal codimen...
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension o...
Abstract. Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal cod...
Abstract. Let M be an irreducible Riemannian symmetric space. The index of M is the minimal codimens...
Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, F...
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension o...
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a R...
We gave a complete list of totally geodesic submanifolds of maximal rank in symmetric spaces of nonc...
AbstractIn this article, relations between the root space decomposition of a Riemannian symmetric sp...
AbstractIn [T. Kimura, M.S. Tanaka, Totally geodesic submanifold in compact symmetric spaces of rank...
We introduce a new technique to the study and identification of submanifolds of simply-connected sym...
We introduce a geometric invariant that we call the index of symmetry, which measures how far is a R...
AbstractWe investigate the totally geodesic Radon transform which assigns a function to its integrat...
AbstractIn [T. Kimura, M.S. Tanaka, Totally geodesic submanifold in compact symmetric spaces of rank...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN042992 / BLDSC - British Library D...