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Locally convex (or nondegenerate) curves in the sphere $S^n$ (or the projective space) have been studied for several reasons, including the study of linear ordinary differential equations of order $n+1$. Taking Frenet frames allows us to obtain corre
Externí odkaz:
http://arxiv.org/abs/2205.10928
Autor:
Goulart, Victor, Saldanha, Nicolau C.
Locally convex curves in the sphere $S^n$ have been studied for several reasons, including the study of linear ordinary differential equations. Taking Frenet frames obtains corresponding curves $\Gamma$ in the group $Spin_{n+1}$; $\Pi: Spin_{n+1} \to
Externí odkaz:
http://arxiv.org/abs/2112.14539
Autor:
Goulart, Victor, Saldanha, Nicolau C.
Publikováno v:
Bull Braz Math Soc, New Series, 54, paper number 47, 2023
Locally convex (or nondegenerate) curves in the sphere (or projective space) have been studied for several reasons, including the study of linear ordinary differential equations. Taking Frenet frames allows us to translate such curves into correspond
Externí odkaz:
http://arxiv.org/abs/1907.01659
Autor:
Goulart, Victor, Saldanha, Nicolau C.
We study the lifting of the Schubert stratification of the homogeneous space of complete real flags of $R^{n+1}$ to its universal covering group $Spin_{n+1}$. We call the lifted strata the Bruhat cells of $Spin_{n+1}$, in keeping with the homonymous
Externí odkaz:
http://arxiv.org/abs/1904.04799
Autor:
Goulart, Victor, Saldanha, Nicolau
A parametric curve $\gamma$ of class $C^n$ on the $n$-sphere is said to be nondegenerate (or locally convex) when $\det\left(\gamma(t),\gamma'(t),\cdots,\gamma^{(n)}(t)\right)>0$ for all values of the parameter $t$. We orthogonalize this ordered basi
Externí odkaz:
http://arxiv.org/abs/1810.08632
Autor:
Goulart, Victor, Saldanha, Nicolau C.
Publikováno v:
Bulletin of the Brazilian Mathematical Society; Dec2023, Vol. 54 Issue 4, p1-51, 51p
Publikováno v:
In Computers and Mathematics with Applications September 2012 64(5):1301-1310
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Autor:
Goulart, Victor, Saldanha, Nicolau C.
Locally convex (or nondegenerate) curves in the sphere (or projective space) have been studied for several reasons, including the study of linear ordinary differential equations. Taking Frenet frames allows us to translate such curves into correspond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d8d8fa15a93110bb6fbb6c4c8100f13
Akademický článek
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