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Almost complex surfaces in the nearly Kähler SL(2, R) × SL(2, R)

Ghandour, Elsa (author)
Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
Vrancken, Luc (author)
University Polytechnic Hauts-de-France
 (creator_code:org_t)
2020-07-15
2020
English.
In: Mathematics. - : MDPI AG. - 2227-7390. ; 8:7
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • The space SL(2, R) × SL(2, R) admits a natural homogeneous pseudo-Riemannian nearly Kahler structure. We investigate almost complex surfaces in this space. In particular, we obtain a complete classification of the totally geodesic almost complex surfaces and of the almost complex surfaces with parallel second fundamental form.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Almost complex surface
Nearly Kähler
Submanifold theory

Publication and Content Type

art (subject category)
ref (subject category)

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By the author/editor
Ghandour, Elsa
Vrancken, Luc
About the subject
NATURAL SCIENCES
NATURAL SCIENCES
and Mathematics
Articles in the publication
Mathematics
By the university
Lund University

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