Zobrazeno 1 - 10
of 415
pro vyhledávání: '"Circle-valued Morse theory"'
Autor:
G. Yu. Panina, Alena Zhukova
Publikováno v:
Sbornik: Mathematics. 208:1353-1367
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a761ef901240a83728a2b879bfe7cdfc
https://doi.org/10.1070/sm8677
https://doi.org/10.1070/sm8677
Autor:
Ian Rand, Nicholas A. Scoville
Publikováno v:
Involve 13, no. 2 (2020), 219-229
We construct a discrete Morse function which induces both a specified gradient vector field and homological sequence on a given tree. After reviewing the basics of discrete Morse theory, we provide an algorithm to construct a discrete Morse function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cc24247dce7db9c108bb532873e5b01
https://projecteuclid.org/euclid.involve/1593072015
https://projecteuclid.org/euclid.involve/1593072015
Autor:
Hisaaki Endo, Andrei Pajitnov
Publikováno v:
The Michigan Mathematical Journal
The Michigan Mathematical Journal, Michigan Mathematical Journal, 2017, 66 (4), pp.813-830. ⟨10.1307/mmj/1508810816⟩
Michigan Math. J. 66, iss. 4 (2017), 813-830
The Michigan Mathematical Journal, Michigan Mathematical Journal, 2017, 66 (4), pp.813-830. ⟨10.1307/mmj/1508810816⟩
Michigan Math. J. 66, iss. 4 (2017), 813-830
Let N be a closed oriented k-dimensional submanifold of the (k+2)-dimensional sphere; denote its complement by C(N). Denote by x the 1-dimensional cohomology class in C(N), dual to N. The Morse-Novikov number of C(N) is by definition the minimal poss
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::827b519738d05697a102ed134fc034b8
https://hal.archives-ouvertes.fr/hal-02383564
https://hal.archives-ouvertes.fr/hal-02383564
Publikováno v:
Journal of Visualization. 19:727-752
Topological methods are important tools for data analysis, and recently receiving more and more attention in vector field visualization. In this paper, we give an introductory description to some important topological methods in vector field visualiz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48c0a5bd88c0e91c9474d2ecbdb57869
https://doi.org/10.1007/s12650-016-0348-8
https://doi.org/10.1007/s12650-016-0348-8
Publikováno v:
Journal of Functional Analysis. 279:108558
Let $M$ be a complex manifold of dimension $n$ with smooth connected boundary $X$. Assume that $\overline M$ admits a holomorphic $S^1$-action preserving the boundary $X$ and the $S^1$-action is transversal on $X$. We show that the $\overline\partial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d8370b4061fdd717fd568c2c41a6578
https://doi.org/10.1016/j.jfa.2020.108558
https://doi.org/10.1016/j.jfa.2020.108558
Autor:
Kazuto Takao
Publikováno v:
Communications in Analysis and Geometry. 24:645-671
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66dbf3cb2e7b0a52437adaf292bb151e
https://doi.org/10.4310/cag.2016.v24.n3.a8
https://doi.org/10.4310/cag.2016.v24.n3.a8
Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 127:235-262
In this work, we give new existence and multiplicity results for the solutions of the prescription problem for the Webster scalar curvature on a 3-dimensional Pseudo Hermitian Manifold. The critical points of prescribed functions verify mixed conditi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37b3bd4ee450b04e55c564b1683b3a70
https://doi.org/10.1016/j.na.2015.05.035
https://doi.org/10.1016/j.na.2015.05.035
Autor:
A. Jänig
Publikováno v:
Journal of Differential Equations. 259:1482-1502
A Morse–Smale function on a compact Riemannian manifold can be used to define an associated Morse complex. Its homology is isomorphic to the singular homology of the manifold, which coincides with the singular homology of the Conley index of the ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa70531991567d8078a7bb085d61bd7f
https://doi.org/10.1016/j.jde.2015.03.004
https://doi.org/10.1016/j.jde.2015.03.004
Autor:
Bin Yu
Publikováno v:
Discrete and Continuous Dynamical Systems. 36:509-540
In this paper, we first develop the concept of Lyapunov graph to weighted Lyapunov graph (abbreviated as WLG) for nonsingular Morse-Smale flows (abbreviated as NMS flows) on $S^3$. WLG is quite sensitive to NMS flows on $S^3$. For instance, WLG detec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cfaa8f1b957de4226233f96943c37756
https://doi.org/10.3934/dcds.2016.36.509
https://doi.org/10.3934/dcds.2016.36.509
Publikováno v:
Computer Graphics Forum. 34:761-785
Morse theory offers a natural and mathematically-sound tool for shape analysis and understanding. It allows studying the behavior of a scalar function defined on a manifold. Starting from a Morse function, we can decompose the domain of the function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f40ebe2ee80a298e8ab1f26462deee58
https://doi.org/10.1111/cgf.12596
https://doi.org/10.1111/cgf.12596