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ISOPARAMETRIC

Geometric and analytic aspects of isoparametric hypersurfaces

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

ISOPARAMETRIC project word cloud

Explore the words cloud of the ISOPARAMETRIC project. It provides you a very rough idea of what is the project "ISOPARAMETRIC" about.

strategy backgrounds compact mechanics powerful synergy consists solutions innovative outstanding existence intriguing hypersurfaces curvature noncompact convergence diversify elliptic evidenced researcher differential fellow erc revealed boost hold training networks group independent geometric collaborative topological supervision mean overdetermined msc extensive host physics contributions constant manifolds join mathematics mathematical alberto isoparametricity intend icmat isoparametric theory equations algebraic madrid connections fluid tools combining objects assimilation spaces partial fellowship supervisor enciso riemannian grant combination scientific techniques consolidate symmetric team starting

Project "ISOPARAMETRIC" data sheet

The following table provides information about the project.

Coordinator	AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS Organization address address: CALLE SERRANO 117 city: MADRID postcode: 28006 website: http://www.csic.es contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	Spain [ES]
Project website	http://verso.mat.uam.es/
Total cost	158˙121 €
EC max contribution	158˙121 € (100%)
Programme	1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
Code Call	H2020-MSCA-IF-2016
Funding Scheme	MSCA-IF-EF-ST
Starting year	2017
Duration (year-month-day)	from 2017-04-16 to 2019-08-20

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS Organization address address: CALLE SERRANO 117 city: MADRID postcode: 28006 website: http://www.csic.es contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	ES (MADRID)	coordinator	158˙121.00

Map

Project objective

Isoparametric hypersurfaces are intriguing geometric objects whose study has revealed connections with several areas of mathematics and mathematical physics, and which have typically been investigated with differential geometric, algebraic or topological techniques.

The aim of this proposal is to develop an innovative approach to isoparametric hypersurfaces by combining already established tools with methods from geometric analysis and partial differential equations. Specifically, we intend to investigate the existence of isoparametric hypersurfaces in general Riemannian manifolds, the role of these objects in overdetermined problems of elliptic partial differential equations, and the isoparametricity of compact hypersurfaces with constant mean curvature in noncompact symmetric spaces.

In order to develop this proposal, the Experienced Researcher will join the Geometric Analysis team at ICMAT, in Madrid, under the supervision of one of its main researchers, Alberto Enciso. The host group has extensive experience in the study of the geometric properties of solutions to differential equations, and their main researchers have recently developed powerful methods to address outstanding problems in fluid mechanics and geometric analysis. The scientific training strategy of this proposal consists in the assimilation of these techniques. On the other hand, the Researcher is experienced in the classical theory of isoparametric hypersurfaces, as evidenced by his contributions to the field. It is the combination of both backgrounds what is needed to develop this proposal.

Finally, this MSC fellowship would boost the convergence of distinct research fields and collaborative networks, produce a synergy with the ERC Starting Grant hold by the Supervisor, diversify the fellow’s mathematical knowledge, and consolidate him as an independent researcher.

Publications

List of publications.
year	authors and title	journal	last update
2017	Miguel DomÃnguez-VÃ¡zquez, Alberto Enciso, Daniel Peralta-Salas Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities published pages: , ISSN: , DOI:	arXiv preprint	2019-09-02
2018	JosÃ© Carlos DÃaz-Ramos, Miguel DomÃnguez-VÃ¡zquez, Cristina Vidal-CastiÃ±eira Isoparametric submanifolds in two-dimensional complex space forms published pages: 205-216, ISSN: 0232-704X, DOI: 10.1007/s10455-017-9572-2	Annals of Global Analysis and Geometry 53/2	2019-09-02
2017	JosÃ© Carlos DÃaz-Ramos, Miguel DomÃnguez-VÃ¡zquez, VÃctor SanmartÃn-LÃ³pez Anti-De Sitter spacetimes and isoparametric hypersurfaces in complex space forms published pages: , ISSN: , DOI: 10.1007/978-3-319-66290-9	Lorentzian Geometry and Related Topics 211	2019-09-02
2018	JosÃ© Carlos DÃaz-Ramos, Miguel DomÃnguez-VÃ¡zquez, Andreas Kollross On homogeneous manifolds whose isotropy actions are polar published pages: 1-20, ISSN: 0025-2611, DOI: 10.1007/s00229-018-1077-1	manuscripta mathematica	2019-09-02
2018	Miguel DomÃnguez-VÃ¡zquez, Claudio Gorodski Polar foliations on quaternionic projective spaces published pages: 353-375, ISSN: 0040-8735, DOI: 10.2748/tmj/1537495351	Tohoku Mathematical Journal 70/3	2019-09-02
2018	Dominguez-Vazquez, Miguel; Perez-Barral, Olga Ruled hypersurfaces with constant mean curvature in complex space forms published pages: 1-7, ISSN: , DOI:	arXiv preprint 1	2019-09-02
2018	DomÃnguez-VÃ¡zquez, Miguel; Manzano, JosÃ© M. Isoparametric surfaces in $mathbb{E}(kappa,tau)$-spaces published pages: 1-13, ISSN: , DOI:	arXiv preprint 1	2019-09-02
2018	JosÃ© Carlos DÃaz-Ramos, Miguel DomÃnguez-VÃ¡zquez, Cristina Vidal-CastiÃ±eira Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes published pages: 469-486, ISSN: 0373-3114, DOI: 10.1007/s10231-017-0687-7	Annali di Matematica Pura ed Applicata (1923 -) 197/2	2019-09-02
2019	J. Carlos DÃaz-Ramos, Miguel DomÃnguez-VÃ¡zquez, VÃctor SanmartÃn-LÃ³pez Submanifold geometry in symmetric spaces of noncompact type published pages: , ISSN: 2316-9028, DOI: 10.1007/s40863-019-00119-6	SÃ£o Paulo Journal of Mathematical Sciences	2019-09-02
2017	JosÃ© Carlos DÃaz-Ramos, Miguel DomÃnguez-VÃ¡zquez, VÃctor SanmartÃn-LÃ³pez Isoparametric hypersurfaces in complex hyperbolic spaces published pages: 756-805, ISSN: 0001-8708, DOI: 10.1016/j.aim.2017.05.012	Advances in Mathematics 314	2019-09-02

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