About: Computer-assisted research in Riemannian and affine geometry

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Projekt, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	http://linked.opendata.cz/ontology/domain/vavai/Projekt
rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=GA201/05/2707
Description	1) Investigation of geodesic, holomorphically projective, F-planar, 4-planar, conformal and related mappings, transformations and deformations on manifolds with affíne connection, Riemannian, Hermitian and quaternionic spaces. Investigation of the torse-forming vector fields in Riemannian spaces. Study of invariant decompositions of tensor spaces. 2) Study of the existence of local and global loops on a three-sphere and the existence of smooth Bol loops on symmetric spaces. 3) Classification of Riemannian or pseudo-Riemannian manifolds with prescribed properties of the curvature, study of isometric deformations of hypersurfaces in spaces of constant curvature, classification of homogeneous geodesics on homogeneous Riemannian and pseudo-Riemannian manifolds, new classes of examples of homogeneous Riemannian manifolds on which alf geodesics are orbits, classification of projectively homogenous afinne connections, study of the curvature of spherical tangent bundles, or, (en) 1) Studium geodetických, holomorfně-projektivních, F-planárních, 4-planárních, konformních a dalších podobných zobrazení, transformací a deformací na varietách s afinní konexí, Riemannových, Hermitových a kvaternionových prostorech. Studium torso-formních vektorových polí v Riemannových prostorech. Studium invariantních rozkladů tenzorových prostorů. 2) Studium existence lokálních a globálních lup na 3-sféře a existence hladkých Bolových lup na symetrických prostorech. 3) Klasifikace Riemannových resp. pseudo-Riemannových variet s předepsanými vlastnostmi křivosti, studium izometrických deformací nadploch prostorů konstantní křivostí, klasifikace homogenních geodetik na homogenních Riemannových a pseudo Riemannových varietách, nové třídy příkladů homogenních Riemannových variet na nichž všechny geodetiky jsou orbitami, klasifikace projektivně homogenních afinních konexí, studium křivosti sférických tečných bandlů resp. obecnějších přirozených bandlů nad Riemannovými varietami
Title	Computer-assisted research in Riemannian and affine geometry (en) Riemannova a afinní geometrie podporovaná počítačem
skos:notation	GA201/05/2707
http://linked.open...avai/cep/aktivita	Standard projects
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F05%2F2707/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F05%2F2707/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2008-12-16 (xsd:date)
http://linked.open...i/cep/druhSouteze	VS - Veřejná soutěž ve výzkumu a vývoji
http://linked.open...ep/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open.../cep/fazeProjektu	71263034
http://linked.open...ai/cep/hlavniObor	BA - Obecná matematika
http://linked.open...hodnoceniProjektu	U - Uspěl podle zadání, tj. byly splněny cíle a jeho předpokládané výsledky uvedené ve smlouvě / rozhodnutí o poskytnutí podpory
http://linked.open...vai/cep/kategorie	ZV - Základní výzkum
http://linked.open.../cep/klicovaSlova	Riemannian; affine and projective differential geometry; transformations (en)
http://linked.open...ep/partnetrHlavni	Přírodovědecká fakulta
http://linked.open...inujicichPrijemcu	0 (xsd:int)
http://linked.open...cep/pocetPrijemcu	1 (xsd:int)
http://linked.open...ocetSpoluPrijemcu	1 (xsd:int)
http://linked.open.../pocetVysledkuRIV	71 (xsd:int)
http://linked.open...enychVysledkuVRIV	71 (xsd:int)
http://linked.open...lneniVMinulemRoce	2007-05-02 (xsd:date)
http://linked.open.../prideleniPodpory	http://linked.opendata.cz/resource/domain/vavai/cep/prideleniPodpory/201%2F05%2F2707
http://linked.open...iciPoslednihoRoku	2007
http://linked.open...atUdajeProjZameru	2008
http://linked.open.../vavai/cep/soutez	SGA02005GA-ST
http://linked.open...usZobrazovaneFaze	DUU
http://linked.open...ai/cep/typPojektu	P - Projekt výzkumu a vývoje financovaný ze státního rozpočtu
http://linked.open...ep/ukonceniReseni	2007-12-31 (xsd:date)
http://linked.open.../cep/vedlejsiObor	JD - Využití počítačů, robotika a její aplikace
http://linked.open...ep/zahajeniReseni	2005-01-01 (xsd:date)
http://linked.open...jektu+dodavatelem	Some results based on the list of transitive Lie group actions in plane domains (S. Lie, P.J. Olver) were derived. Jointly with Z. Vlášek, projectively homogeneous affine connections in the plane were classified. Jointly with T. Arias-Marco, locally homo (en) Byly odvozeny některé výsledky založené na tabulce transitivních akcí Lieových grup v rovinných oborech (S. Lie, P.J. Olver). Společně se Z. Vláškem byly klasifikovány projektivně homogenní afinní konexe v rovině. Společně s T. Arias-Marco byly klasifiko (cs)
http://linked.open...tniCyklusProjektu	ZBKU
http://linked.open.../cep/klicoveSlovo	affine and projective differential geometry Riemannian
is http://linked.open...vavai/riv/projekt of	On linearly pF-planar mappings On holomorphically projective mappings from equiaffine symmetric and recurrent spaces onto Kählerian spaces On tensor fields semiconjugated with torse-forming vector fields On identities of Bol-Moufang type Cores of Bol loops and symmetric groupoids Normalization of MV-algebras Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds, Invariance of g-natural metrics on tangent bundles Classification of 4-dimensional homogeneous D´Atri spaces On Riemannian geometry of tangent sphere bundles with arbitrary radius On the geometry of orthonormal frame bundles Natural lifts in Riemannian geometry Deformation properties of one remarkable hypersurface by H. Takagi in R^4 Invariance of g-natural metrics on linear frame bundles, On the geometry of orthonormal frame bundles II Homogeneous Geodesics in Homogeneous Affine Manifolds Special mappings of equidistant spaces Variational properties of geodesics in generalized Finsler spaces On Einstein Riemannian g-natural metrics on unit tangent sphere bundles Naturality of homogeneous metrics on Stiefel manifolds SO(m+1)/SO(m-1) Comparison of Discrete Cosine Transform and Wavelet Transform Compression Algorithms COMPARISSON OF STATISTICAL METHODS IN STEGANOGRAPHY Concircular vector fields on compact manifolds with affine connections Linear connections on two-manifolds and SODE's Light-like homogeneous geodesics and the Geodesic Lemma for any signature Examples of pseudo-Riemannian g.o. manifolds On 6-dimensional pseudo-Riemannian almost g.o. spaces On fundamental equations of almost geodesic mappings π2(e). Equipping Distributions for linear distribution. On first quadratic integral of geodesics with a certain initial conditions The decomposition of tensor spaces with quaternionic structure. On fundamental equations of almost geodesic mappings π2(e). Classification of locally projectively homogeneous torsion-less affine connections in the plane domains Iterative Image Restoration and the Stopping Criteria On F-planar mappings of spaces with affine connections On the Equations of Conformally-Projective Harmonic Mappings One remark on variational properties of geodesics in pseudoriemannian and generalized finsler spaces Бесконечно малые F-планарные преобразования On generalized trace decompositions problems Structure of geodesics in the flag manifold SO(7)/U(3) Об одном вариационном свойстве геодезических в римановых и финслеровых пространствах. On curvatures of linear frame bundles with naturally lifted metrics On g-natural metrics with constant scalar curvature on unit tangent sphere bundle Simply connected two-step homogeneous nilmanifolds of dimension 5 Concircular and convergent vector fields on compact spaces with affine connections Canonical almost geodesic mappings of type π1 onto pseudo-Riemannian manifold Metrization problem and holonomy groups Deformation properties of a remarkable hypersurface by H. Takagi in R4 A null geodesic orbit space whose null orbits require a reparametrization Infinitesimal F -planar transformations Mathematical model of the precize large dimension details measurement on the new information technology basis Mathematical model of the precize large dimension details measurement on the new information technology basis Differentiable structures on elementary geometries. Projective equivalence of quadrics in Klingenberg projective spaces over a special local ring Демонстрация метода подв&#1080 On six-dimensional pseudo-Riemannian almost g.o. spaces The decomposition of tensor spaces with almost complex structure On holomorphically projective mappings of Einstein parabolically-Kaehlerian spaces. Left symmetric left distributive magmas and hypersubstitutions. On holomorphically projective mappings from equiaffine special semisymmetric spaces On F-subplanar mappings on spaces with affine connection.

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