Harmonicity of proper almost complex structures on Walker 4-manifolds

被引：0

作者：

Davidov, Johann ^{[1
,2
]}

Ul-Haq, Absar ^{[2
]}

Mushkarov, Oleg ^{[1
,3
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan

[3] South West Univ, Blagoevgrad 2700, Bulgaria

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2017年 / 14卷 / 06期

关键词：

Harmonic almost complex structure; Walker metric; proper almost complex structure; hyperbolic twistor space; SURFACES; METRICS;

D O I：

10.1142/S0219887817500943

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Every Walker 4-manifold M, endowed with a canonical neutral metric g, admits a specific almost complex structure called proper. In this paper, we find the conditions under which a proper almost complex structure is a harmonic section or a harmonic map from (M, g) to its hyperbolic twistor space.

引用

页数：20

共 50 条

[41] Intersection forms of almost-flat 4-manifolds
Szczepanski, A.
ARCHIV DER MATHEMATIK, 2018, 110 (05) : 455 - 458
[42] IRREDUCIBLE 4-MANIFOLDS NEED NOT BE COMPLEX
GOMPF, RE
MROWKA, TS
ANNALS OF MATHEMATICS, 1993, 138 (01) : 61 - 111
[43] HARMONICITY OF ALMOST NORDEN SUBMERSIONS BETWEEN ALMOST NORDEN MANIFOLDS
Gupta, Garima
Kumar, Rakesh
Rani, Rachna
Sachdeva, Rashmi
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (02) : 375 - 395
[44] Harmonicity on some almost contact metric manifolds
Gherghe C.
Rendiconti del Circolo Matematico di Palermo, 2000, 49 (3) : 415 - 424
[45] Harmonicity of the Atiyah–Hitchin–Singer and Eells–Salamon almost complex structures
Johann Davidov
Oleg Mushkarov
Annali di Matematica Pura ed Applicata (1923 -), 2018, 197 : 185 - 209
[46] Almost complex structures on hyperbolic manifolds
D. Kotschick
Mathematische Zeitschrift, 2023, 305
[47] Almost complex structures on hyperbolic manifolds
Kotschick, D.
MATHEMATISCHE ZEITSCHRIFT, 2023, 305 (01)
[48] On 4-dimensional almost para-complex pure-Walker manifolds
Iscan, Murat
Sarsilmaz, Hilmi
Turanli, Sibel
TURKISH JOURNAL OF MATHEMATICS, 2014, 38 (06) : 1071 - 1080
[49] CONSTRUCTING FRAMED 4-MANIFOLDS WITH GIVEN ALMOST FRAMED BOUNDARIES
KAPLAN, SJ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 254 (OCT) : 237 - 263
[50] On the normal bundle of minimal surfaces in almost Kahler 4-manifolds
Ville, M
HARMONIC MORPHISMS, HARMONIC MAPS, AND RELATED TOPICS, 2000, 413 : 159 - 173

← 1 2 3 4 5 →