scholarly journals Classification of flat pencils of foliations on compact complex surfaces

2021 ◽  
Vol 70 (5) ◽  
pp. 2191-2214
Author(s):  
Liliana Puchuri
Keyword(s):  
Complex Surfaces ◽  
Compact Complex Surfaces

scholarly journals On rigid compact complex surfaces and manifolds

2018 ◽  
Vol 333 ◽  
pp. 620-669 ◽  
Author(s):  
Ingrid Bauer ◽  
Fabrizio Catanese
Keyword(s):  
Complex Surfaces ◽  
Compact Complex Surfaces

scholarly journals Almost Complex Surfaces in the Nearly Kähler SL(2,ℝ) × SL(2,ℝ)

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1160
Author(s):  
Elsa Ghandour ◽  
Luc Vrancken
Keyword(s):  
Complete Classification ◽  
Second Fundamental Form ◽  
Complex Surfaces ◽  
Kähler Structure ◽  
Totally Geodesic ◽  
Parallel Second Fundamental Form ◽  
Almost Complex ◽  
Nearly Kähler ◽  
Nearly Kähler Structure

The space S L ( 2 , R ) × S L ( 2 , R ) admits a natural homogeneous pseudo-Riemannian nearly Kähler 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.

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