Výsledky vyhledávání - "Baris Coskunuzer"

Minimal surfaces in ℍ2 × ℝ: Non-fillable curves

Autor: Baris Coskunuzer

Publikováno v: Journal of Topology and Analysis. 15:251-264

In this paper, we study the asymptotic Plateau problem in [Formula: see text]. We construct the first examples of non-fillable finite curves with no thin tail in [Formula: see text].

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ad65392e35b8a7e6eac4214fef70b3f3
https://doi.org/10.1142/s1793525321500230

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Geometric Approaches on Persistent Homology

Autor: Henry Adams, Baris Coskunuzer

We introduce several geometric notions, including the width of a homology class, to the theory of persistent homology. These ideas provide geometric interpretations of persistence diagrams. Indeed, we give quantitative and geometric descriptions of t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e15def88d1cdac155eb8dd390ca60f6
http://arxiv.org/abs/2103.06408

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Existence of Embedded Minimal Disks

Autor: Baris Coskunuzer

We give a generalization of Meeks-Yau's celebrated embeddedness result for the solutions of the Plateau problem for extreme curves.
15 pages, 6 figures

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0fff6d5a16ddbcf41e7356fc07ccbf9
http://arxiv.org/abs/2103.01023

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Minimal surfaces with arbitrary topology in $\mathbb{H}^2 x \mathbb{R}$

Autor: Baris Coskunuzer

Publikováno v: Algebraic & Geometric Topology

We show that any open orientable surface S can be properly embedded in H^2xR as an area minimizing surface.
Comment: 26 pages, 6 figures. With the editors' request, the paper splitted into two parts. The other part posted as APP for Tall Curves

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::155c6ef287a1accb58f4f36ac47d3fae
https://hdl.handle.net/21.11116/0000-000B-1C2A-821.11116/0000-000A-79A1-8

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Asymptotic plateau problem in $${\mathbb H}^2\times {\mathbb R}$$ H 2 × R

Autor: Baris Coskunuzer

Publikováno v: Selecta Mathematica. 24:4811-4838

We give a fairly complete solution to the asymptotic Plateau Problem for area minimizing surfaces in $${\mathbb H}^2\times {\mathbb R}$$ . In particular, we identify the collection of Jordan curves in $$\partial _\infty ({\mathbb H}^2\times {\mathbb

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f0de0c15e400b5c82557498f1ee0e194
https://doi.org/10.1007/s00029-018-0428-9

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Embedded 𝐻-planes in hyperbolic 3-space

Autor: Baris Coskunuzer

Publikováno v: Transactions of the American Mathematical Society. 371:1253-1269

We show that for any C^0 Jordan curve C in the sphere at infinity of H^3, there exists an embedded $H$-plane P_H in H^3 with asymptotic boundary C for any H in (-1,1). As a corollary, we proved that any quasi-Fuchsian hyperbolic 3-manifold M=SxR cont

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe434231c17584ce1f5d8d44ceea1974
https://doi.org/10.1090/tran/7286

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Non-properly embedded H-planes in $${\mathbb H}^2\times {\mathbb R}$$ H 2 × R

Autor: William H. Meeks, Giuseppe Tinaglia, Baris Coskunuzer

Publikováno v: Mathematische Annalen. 370:1491-1512

For any $$H \in (0,\frac{1}{2})$$ , we construct complete, non-proper, stable, simply-connected surfaces embedded in $${\mathbb H}^2\times {\mathbb R}$$ with constant mean curvature H.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f4d8213596ca17e04ae32d4c0cc72f16
https://doi.org/10.1007/s00208-017-1550-2

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Asymptotic H–Plateau problem in ℍ3

Autor: Baris Coskunuzer

Publikováno v: Geometry and Topology

We show that for any Jordan curve Gamma in S-infinity(2) (H-3) with at least one smooth point, there exists an embedded H-plane P-H in H-3 with partial derivative P-infinity(H) = Gamma for any H is an element of [0, 1).
Fulbright Grant; Scientif

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da5d1e6330f1dd16b7776855cbc101b4
https://doi.org/10.2140/gt.2016.20.613

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Minimal Surfaces in Hyperbolic 3-manifolds

Autor: Baris Coskunuzer

In this paper, we show the existence of smoothly embedded closed minimal surfaces in infinite volume hyperbolic $3$-manifolds except some special cases.
Tube Lemma removed, and proof simplified. New figures added

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f209ae7c622b94dd5b84ee275ca1d735
http://arxiv.org/abs/1806.10549

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Non-properly embedded $H$-planes in $\mathbb{H}^3$

Autor: Baris Coskunuzer, William H. Meeks, Giuseppe Tinaglia

Publikováno v: J. Differential Geom. 105, no. 3 (2017), 405-425

For any $H \in [0, 1)$, we construct complete, non-proper, stable, simply-connected surfaces with constant mean curvature $H$ embedded in hyperbolic three-space.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27a23d68b2d2c75b24ad43b3e0c0d75b
https://doi.org/10.4310/jdg/1488503003

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