Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Ricardo N. Cruz"'
Publikováno v:
Qualitative Theory of Dynamical Systems. 6:59-86
In this article we will show that, in general, for each integral point (γ0,...,γ n ) in the Morse polytope,P κ (h o , ...,h n ), one can associate an abstract Lyapunov graphL(h o , ...,h n ,κ) withntd-labelling and realize a corresponding flow on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da2ab8ea16351539689077ffdc0aa017
https://doi.org/10.1007/bf02972668
https://doi.org/10.1007/bf02972668
Autor:
K. A. de Rezende, Ricardo N. Cruz
Publikováno v:
Ergodic Theory and Dynamical Systems. 19:339-362
The main purpose of this paper is to study the implications that the homology index of critical sets of smooth flows on closed manifolds M have on both the homology of level sets of M and the homology of M itself. The bookkeeping of the data containi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::086dca0071e1fe6c4b9e78fc63564c0c
https://doi.org/10.1017/s0143385799120893
https://doi.org/10.1017/s0143385799120893
Autor:
Ricardo N. Cruz
Publikováno v:
Topology and its Applications. 87:199-211
A local reflection r : M → M, M a closed and connected manifold, is an involution with a two-sided fixed point submanifold F (in particular, nonempty). We show that β0(F) ⩽ g(M) + 1, g(M) the genus of M (Cornea, 1989). We also show that β0(M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::506432c09db08de42026dcc69308ac03
https://doi.org/10.1016/s0166-8641(97)00166-1
https://doi.org/10.1016/s0166-8641(97)00166-1
Autor:
Ricardo N. Cruz, K. A. de Rezende
Publikováno v:
Proceedings of the American Mathematical Society. 126:3715-3720
We show that the cycle-rank r ( L ) r(L) of a Lyapunov graph L L on a manifold M M satisfies: r ( L ) ≤ g ( M ) r(L) \leq g(M) , where g ( M ) g(M) is the genus of M M . This generalizes a theorem of Franks. We also show that given any integer r r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::816ab05d4171bd8a111f5f148b43130b
https://doi.org/10.1090/s0002-9939-98-04957-0
https://doi.org/10.1090/s0002-9939-98-04957-0
Autor:
Ricardo N. Cruz
Publikováno v:
Topology and its Applications. 75(2):105-111
According to Cappell and Shaneson, very often the secondary surgery obstruction O 2 to codimension two splitting is zero, but examples with O 2 ≠ 0 exist. By considering homotopy equivalences with codomain the total space of a two disk bundle, we p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19eb67a2061bd4374b2db4e607621303
Autor:
Ricardo N. Cruz
Publikováno v:
Topology and its Applications. 42(2):137-158
We introduce the concept of multidimensional periodic knot f:Sn–2→Sn generalizing the classical case n=3. More precisely, given a semifree Z s action on Sn, ϱ: Z s×Sn, the above knot ⨍ periodic with respect to ϱ if and only if ϱ( Z s×f(S{s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ba474f5e73caad5d52079138202702b
Autor:
Ricardo N. Cruz
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783540529903
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a8175b4428cc326723c4f1e6ad5f915
https://doi.org/10.1007/bfb0084448
https://doi.org/10.1007/bfb0084448
Autor:
Ricardo N. Cruz
Publikováno v:
Linear Algebra and its Applications. :17-25
We give a sufficient condition for two Lipschitz similar orthogonal maps to be linearly similar.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b9f025087136bd62a26499c66a57537