Výsledky vyhledávání - "Tsasa Lusala"

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Autor: Tsasa, Lusala, Śniatycki, Jędrzej

We show that, if the family \cal{O} of orbits of all vector fields on a subcartesian space P is locally finite and each orbit in \cal{O} is locally closed, then \cal{O} defines a smooth Whitney A stratification of P. We also show that the stratificat

Externí odkaz: http://arxiv.org/abs/0805.4807

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Slice Theorem For Differential Spaces And Reduction By Stages

Autor: Tsasa Lusala, Jędrzej Śniatycki

Publikováno v: Demonstratio Mathematica, Vol 47, Iss 1, Pp 192-210 (2014)

We show that the space P/G of orbits of a proper action of a Lie group G on a locally compact differential space P is a locally compact differential space with quotient topology. Applying this result to reduction of symmetries of Hamiltonian systems,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f660659db64e1b036c7218cd1e6e6789
http://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0016/dema-2014-0016.xml?format=INT

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Closed hypersurfaces of with constant mean curvature and zero Gauß–Kronecker curvature

Autor: Tsasa Lusala, André Gomes de Oliveira

Publikováno v: Comptes Rendus Mathematique. 340:437-440

We consider a closed hypersurface M 3 ⊂ S 4 ( 1 ) with identically zero Gaus–Kronecker curvature. We prove that if M 3 has constant mean curvature H, then M 3 is minimal, i.e., H = 0 . This result extends Ramanathan's classification (Math. Z. 205

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::df303b9fe2582cab9c71eb458905b6b5
https://doi.org/10.1016/j.crma.2005.01.005

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Closed Minimal Willimore Hypersurfaces of S5(1) with Constant Scalar Curvature

Autor: Mike Scherfner, Tsasa Lusala, Luiz Amancio M. Souse

Publikováno v: Asian Journal of Mathematics. 9:65-78

We consider minimal closed hypersurfaces M 4 � S 5 (1) with constant scalar curva- ture. We prove that, if M 4 is additionally a Willmore hypersurface, then it is isoparametric. This gives a positive answer to the question made by Chern about the p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8bc968499075273c5b6aa7acc7bcc432
https://doi.org/10.4310/ajm.2005.v9.n1.a6

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Tchebychev surfaces of S3(1) with constant curvature functions

Autor: Tsasa Lusala

Publikováno v: Results in Mathematics. 38:130-143

We prove that Tchebychev surfaces of S3(1) with constant mean curvature or with shape operator of constant squared length are isoparametric. We summarize our results in a survey of types of isoparametric and non-isoparametric Tchebychev surfaces.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b2058eaefa005cfdb475a916f7f1c01a
https://doi.org/10.1007/bf03322436

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Stratified Subcartesian Spaces

Autor: Jędrzej Śniatycki, Tsasa Lusala

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56d59274c99aa995a8111d957c50cca7
http://arxiv.org/abs/0805.4807

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Regular Points of a Subcartesian Space

Autor: Tsasa Lusala, Jordan Watts, Jedrzej Sniatycki

We discuss properties of the regular part Sreg of a subcartesian space S. We show that Sreg is open and dense in S and the restriction to Sreg of the tangent bundle space of S is locally trivial.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::088d9ce71481ba72ab2f09b1c47cf001
http://arxiv.org/abs/0803.1147

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Non-closed minimal hypersurfaces of $\mathbb{S}^{4}(1)$ with identically zero $\text{Gau}mathcal{B}$-Kronecker curvature

Autor: Tsasa Lusala

Publikováno v: Hokkaido Math. J. 33, no. 1 (2004), 65-82

We give a partial local description of minimal hypersurfaces M 3 with identically zero Gauss-Kronecker curvature function in the unit 4-sphere S 4 (1), without assumption on the compactness of M 3 .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::910ff875f3561317e3a0867a00db33e5
http://projecteuclid.org/euclid.hokmj/1285766005

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