GEOMETRIC ANALYSIS

Operation co-funded by EU cohesion policy (European Regional Development Fund (ERDF)) under the programme Multi-regional Spain - ERDF (2014ES16RFOP002), managing authority: Subdirección General de Gestión del FEDER, de la Dirección General de Fondos Europeos del Ministerio de Hacienda.. The source names no beneficiary for this operation. Location: Castellón (NUTS ES522); Spain. Budget: total eligible expenditure EUR 15,972; EU co-financing EUR 7,986 (co-financing rate 50%), as stated by the source. Runs 2018-01-01 to 2021-09-30. Source: Kohesio, EU cohesion policy projects managed by national and regional authorities (not CORDIS); selected because its summary names quantum technology. Summary from Kohesio (English machine translation by the source): THE REQUESTED PROJECT ENTERS WITHIN THE BODY OF KNOWLEDGE KNOWN AS GEOMETRIC ANALYSIS. ITS GENERAL OBJECTIVE CONSISTS IN THE STUDY OF THE INTERACTION BETWEEN THE PROPERTIES OF THE SOLUTIONS OF CERTAIN EQUATIONS IN PARTIAL DERIVATIVES DEFINED IN A RIEMANNIAN MANIFOLD, RELATING THEM WITH METRICAL AND TOPOLOGICAL INVARIANTS OF THE MANIFOLD WHERE THEY ARE DEFINED. A KEY TECHNIQUE IN THIS STUDY IS THE ANALYSIS OF DISTANCE FUNCTION, TOGETHER WITH RESULTS OF SUBMANIFOLD THEORY. THE LINES IN WHICH THIS PROJECT IS STRUCTURED ARE THE FOLLOWING: 1.- STUDY OF POISSON-DIRICHLET AND HEAT EQUATIONS IN VARIETIES AND IN ISOMETRIC IMMERSIONS. 2.- STUDY OF THE SPECTRUM OF THE LAPLACIAN AND THE SPECTRUM OF MOMENTS IN MANIFOLDS AND IN ISOMETRIC IMMERSIONS 3.- STUDY OF THE FLOW BY MEAN CURVATURE AND BY INVERSE MEAN CURVATURE OF A SUBMANIFOLD AND ITS RELATION TO THE PROBLEM OF THE TYPE, AND WITH ITS SPECTRA OF DIRICHLET AND MOMENTS SPECTRA. 4.- APPLICATION OF METHODS OF GEOMETRIC ANALYSIS IN THE CONTEXT OF QUANTUM MECHANICS, MORE SPECIFICALLY, IN THE DETERMINATION OF THE SPECTRUM OF ENERGIES OF RESTRICTED QUANTUM PARTICLES ON SURFACES AND PROBLEMS COMING FROM THE FIELD OF LINEAR OPTICS.

Original source.

Source: Kohesio (EU cohesion policy projects), European Commission, Directorate-General for Regional and Urban Policy (DG REGIO). Retrieved 2026-10-21. Licence: CC0 1.0 (Cohesion Open Data Platform, dataset 2014-2020 Kohesio projects). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: public domain dedication (CC0 1.0).

AI-assisted summary: The project 'Geometric Analysis' is co-funded by the EU under the Multi-regional Spain programme, with a budget of EUR 15,972 and EU co-financing of EUR 7,986. It focuses on studying the interaction of solutions to partial differential equations in Riemannian manifolds. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.