Výsledky vyhledávání - "Jurgen Berndt"

Foliated Hopf hypersurfaces in complex hyperbolic quadrics

Autor: Jurgen Berndt

Publikováno v: Annali di Matematica Pura ed Applicata (1923 -). 202:619-655

This paper deals with a limiting case motivated by contact geometry. The limiting case of a tensorial characterization of contact hypersurfaces in Kahler manifolds leads to Hopf hypersurfaces whose maximal complex subbundle of the tangent bundle is i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3a1fa1a47032fc13da874410263b1d5
https://doi.org/10.1007/s10231-022-01254-2

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The index conjecture for symmetric spaces

Autor: Carlos Olmos, Jurgen Berndt

Publikováno v: Berndt, J & Olmos, C 2020, ' The index conjecture for symmetric spaces ', J Reine Angew Math, vol. 2021, no. 772, pp. 187-222 . https://doi.org/10.1515/crelle-2020-0025

In 1980, Onishchik introduced the index of a Riemannian symmetric space as the minimal codimension of a (proper) totally geodesic submanifold. He calculated the index for symmetric spaces of rank less than or equal to 2, but for higher rank it was un

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca0ced06aa8314e4b69b5f80945c6780
https://doi.org/10.1515/crelle-2020-0025

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The index of compact simple Lie groups

Autor: Carlos Olmos, Jurgen Berndt

Publikováno v: Bulletin of the London Mathematical Society. 49:903-907

Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a (non-trivial) totally geodesic submanifold of M. The purpose of this note is to determine the index i(M) for all irreducible Riemannian symmetric

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https://doi.org/10.1112/blms.12081

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REAL HYPERSURFACES WITH ISOMETRIC REEB FLOW IN KAHLER MANIFOLDS

Autor: Young Jin Suh, Jurgen Berndt

Publikováno v: Berndt, J & Suh, Y J 2019, ' REAL HYPERSURFACES WITH ISOMETRIC REEB FLOW IN KAHLER MANIFOLDS ', COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 23, no. 1 . https://doi.org/10.1142/S0219199719500391

We investigate the structure of real hypersurfaces with isometric Reeb flow in Kähler manifolds. As an application we classify real hypersurfaces with isometric Reeb flow in irreducible Hermitian symmetric spaces of compact type.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1be98336a08223e370b4cd2acbac5078
https://kclpure.kcl.ac.uk/ws/files/107243211/Real_Hypersurfaces_Berndt_11_Mar_19_GREEN_AAM.pdf

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The index of exceptional symmetric spaces

Autor: Juan Sebastián Rodríguez, Jurgen Berndt, Carlos Olmos

Publikováno v: King's College London

The index of a Riemannian symmetric space is the minimal codimension of a proper totally geodesic submanifold (Onishchik, 1980). There is a conjecture by the first two authors for how to calculate the index. In this paper we give an affirmative answe

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Cohomogeneity one actions on Minkowski spaces

Autor: Jurgen Berndt, José Carlos Díaz-Ramos, M. J. Vanaei

Publikováno v: Berndt, J, Díaz-Ramos, J C & Vanaei, M J 2017, ' Cohomogeneity one actions on Minkowski spaces ', MONATSHEFTE FUR MATHEMATIK, vol. 184, no. 2, pp. 185–200 . https://doi.org/10.1007/s00605-016-0945-6

We study isometric cohomogeneity one actions on the \((n+1)\)-dimensional Minkowski space \(\mathbb {L}^{n+1}\) up to orbit-equivalence. We give examples of isometric cohomogeneity one actions on \(\mathbb {L}^{n+1}\) whose orbit spaces are non-Hausd

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::261c50fc6c684e9f47e4ace0efb63558
https://doi.org/10.1007/s00605-016-0945-6

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On the index of symmetric spaces

Autor: Carlos Olmos, Jurgen Berndt

Publikováno v: Berndt, J & Olmos, C 2018, ' On the index of symmetric spaces ', Journal fur die Reine und Angewandte Mathematik, vol. 737, pp. 33-48 . https://doi.org/10.1515/crelle-2015-0060

Let M be an irreducible Riemannian symmetric space. The index of M is the minimal codimension of a (non-trivial) totally geodesic submanifold of M. We prove that the index is bounded from below by the rank of the symmetric space. We also classify the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82db63070435b4176c4aeef8279e8104
https://doi.org/10.1515/crelle-2015-0060

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Elektronická kniha

Submanifolds and Holonomy

Autor: Jurgen Berndt, Sergio Console, Carlos Enrique Olmos

Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred sin

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Maximal totally geodesic submanifolds and index of symmetric spaces

Autor: Jurgen Berndt, Carlos Olmos

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
J. Differential Geom. 104, no. 2 (2016), 187-217
Berndt, J & Olmos, C 2016, ' Maximal totally geodesic submanifolds and index of symmetric spaces ', JOURNAL OF DIFFERENTIAL GEOMETRY, vol. 104, no. 2, pp. 187-217 . https://doi.org/10.4310/jdg/1476367055

Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a totally geodesic submanifold of M. In previous work the authors proved that i(M) is bounded from below by the rank rk(M) of M. In this paper we cl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac608c2cc5fe268c1a434579221034f8
https://doi.org/10.4310/jdg/1476367055

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