Instantons and hypercontact structures

Augustin Banyaga

doi:10.1016/0393-0440(95)00032-1

Instantons and hypercontact structures

Augustin Banyaga

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Any (anti)-instanton yields a set of three contact forms on S⁷. The basic (anti)-instanton yields a hypercontact structure. Also, we indicate sufficient conditions for the components of an SU(2) connection to be contact forms. Finally, we prove, under a mild hypothesis, that the three contact forms of any hypercontact structure define the same contact structure.

Original language	English (US)
Pages (from-to)	267-276
Number of pages	10
Journal	Journal of Geometry and Physics
Volume	19
Issue number	3
DOIs	https://doi.org/10.1016/0393-0440(95)00032-1
State	Published - Jul 1996

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/0393-0440(95)00032-1

Cite this

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title = "Instantons and hypercontact structures",

abstract = "Any (anti)-instanton yields a set of three contact forms on S7. The basic (anti)-instanton yields a hypercontact structure. Also, we indicate sufficient conditions for the components of an SU(2) connection to be contact forms. Finally, we prove, under a mild hypothesis, that the three contact forms of any hypercontact structure define the same contact structure.",

author = "Augustin Banyaga",

note = "Funding Information: in part by NSF grant DMS",

year = "1996",

month = jul,

doi = "10.1016/0393-0440(95)00032-1",

language = "English (US)",

volume = "19",

pages = "267--276",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier B.V.",

number = "3",

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T1 - Instantons and hypercontact structures

AU - Banyaga, Augustin

N1 - Funding Information: in part by NSF grant DMS

PY - 1996/7

Y1 - 1996/7

N2 - Any (anti)-instanton yields a set of three contact forms on S7. The basic (anti)-instanton yields a hypercontact structure. Also, we indicate sufficient conditions for the components of an SU(2) connection to be contact forms. Finally, we prove, under a mild hypothesis, that the three contact forms of any hypercontact structure define the same contact structure.

AB - Any (anti)-instanton yields a set of three contact forms on S7. The basic (anti)-instanton yields a hypercontact structure. Also, we indicate sufficient conditions for the components of an SU(2) connection to be contact forms. Finally, we prove, under a mild hypothesis, that the three contact forms of any hypercontact structure define the same contact structure.

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UR - http://www.scopus.com/inward/citedby.url?scp=0030191267&partnerID=8YFLogxK

U2 - 10.1016/0393-0440(95)00032-1

DO - 10.1016/0393-0440(95)00032-1

M3 - Article

AN - SCOPUS:0030191267

SN - 0393-0440

VL - 19

SP - 267

EP - 276

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 3

ER -

Instantons and hypercontact structures

Abstract

All Science Journal Classification (ASJC) codes

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