Embedded tori with prescribed mean curvature
We construct a sequence of compact, oriented, embedded, two-dimensional surfaces of genus one into Euclidean 3-space with prescribed, almost constant, mean curvature of the form H ( X ) = 1 + A | X | − γ for | X | large, when A < 0 and γ ∈ ( 0 , 2 ) . Such surfaces are close to sections of undulo...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Caldiroli, Paolo [verfasserIn] |
|---|
| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Umfang: |
53 |
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| Übergeordnetes Werk: |
Enthalten in: Evidence of Titan’s climate history from evaporite distribution - MacKenzie, Shannon M. ELSEVIER, 2014, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:340 ; year:2018 ; day:15 ; month:12 ; pages:406-458 ; extent:53 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.aim.2018.10.018 |
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ELV044661266 |
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| 520 | |a We construct a sequence of compact, oriented, embedded, two-dimensional surfaces of genus one into Euclidean 3-space with prescribed, almost constant, mean curvature of the form H ( X ) = 1 + A | X | − γ for | X | large, when A < 0 and γ ∈ ( 0 , 2 ) . Such surfaces are close to sections of unduloids with small neck-size, folded along circumferences centered at the origin and with larger and larger radii. The construction involves a deep study of the corresponding Jacobi operators, an application of the Lyapunov–Schmidt reduction method and some variational argument. | ||
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10.1016/j.aim.2018.10.018 doi GBV00000000000418.pica (DE-627)ELV044661266 (ELSEVIER)S0001-8708(18)30404-3 DE-627 ger DE-627 rakwb eng 520 VZ 530 VZ 570 VZ BIODIV DE-30 fid 44.94 bkl Caldiroli, Paolo verfasserin aut Embedded tori with prescribed mean curvature 2018 53 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We construct a sequence of compact, oriented, embedded, two-dimensional surfaces of genus one into Euclidean 3-space with prescribed, almost constant, mean curvature of the form H ( X ) = 1 + A | X | − γ for | X | large, when A < 0 and γ ∈ ( 0 , 2 ) . Such surfaces are close to sections of unduloids with small neck-size, folded along circumferences centered at the origin and with larger and larger radii. The construction involves a deep study of the corresponding Jacobi operators, an application of the Lyapunov–Schmidt reduction method and some variational argument. 53A10 Elsevier 53C21 Elsevier 53A05 Elsevier Musso, Monica oth Enthalten in Elsevier MacKenzie, Shannon M. ELSEVIER Evidence of Titan’s climate history from evaporite distribution 2014 Amsterdam [u.a.] (DE-627)ELV012586625 volume:340 year:2018 day:15 month:12 pages:406-458 extent:53 https://doi.org/10.1016/j.aim.2018.10.018 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA GBV_ILN_22 GBV_ILN_359 44.94 Hals-Nasen-Ohrenheilkunde VZ AR 340 2018 15 1215 406-458 53 |
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We construct a sequence of compact, oriented, embedded, two-dimensional surfaces of genus one into Euclidean 3-space with prescribed, almost constant, mean curvature of the form H ( X ) = 1 + A | X | − γ for | X | large, when A < 0 and γ ∈ ( 0 , 2 ) . Such surfaces are close to sections of unduloids with small neck-size, folded along circumferences centered at the origin and with larger and larger radii. The construction involves a deep study of the corresponding Jacobi operators, an application of the Lyapunov–Schmidt reduction method and some variational argument. |
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We construct a sequence of compact, oriented, embedded, two-dimensional surfaces of genus one into Euclidean 3-space with prescribed, almost constant, mean curvature of the form H ( X ) = 1 + A | X | − γ for | X | large, when A < 0 and γ ∈ ( 0 , 2 ) . Such surfaces are close to sections of unduloids with small neck-size, folded along circumferences centered at the origin and with larger and larger radii. The construction involves a deep study of the corresponding Jacobi operators, an application of the Lyapunov–Schmidt reduction method and some variational argument. |
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We construct a sequence of compact, oriented, embedded, two-dimensional surfaces of genus one into Euclidean 3-space with prescribed, almost constant, mean curvature of the form H ( X ) = 1 + A | X | − γ for | X | large, when A < 0 and γ ∈ ( 0 , 2 ) . Such surfaces are close to sections of unduloids with small neck-size, folded along circumferences centered at the origin and with larger and larger radii. The construction involves a deep study of the corresponding Jacobi operators, an application of the Lyapunov–Schmidt reduction method and some variational argument. |
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Embedded tori with prescribed mean curvature |
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