Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized Monge--Ampere equations
Sbornik. Mathematics, Tome 189 (1998) no. 11, pp. 1643-1656
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Three related classification problems on four-manifolds are discussed. First, regular distributions are considered and described locally. After that a classification of almost complex structures of general position in terms of distributions is proposed. Finally, non-degenerate generalized Monge–Ampere equations are classified in terms of $\{e\}$-structures. Symplectic Lie algebras are also considered in an appendix.
@article{SM_1998_189_11_a2,
author = {B. S. Kruglikov},
title = {Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized {Monge--Ampere} equations},
journal = {Sbornik. Mathematics},
pages = {1643--1656},
publisher = {mathdoc},
volume = {189},
number = {11},
year = {1998},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1998_189_11_a2/}
}
TY - JOUR AU - B. S. Kruglikov TI - Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized Monge--Ampere equations JO - Sbornik. Mathematics PY - 1998 SP - 1643 EP - 1656 VL - 189 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1998_189_11_a2/ LA - en ID - SM_1998_189_11_a2 ER -
%0 Journal Article %A B. S. Kruglikov %T Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized Monge--Ampere equations %J Sbornik. Mathematics %D 1998 %P 1643-1656 %V 189 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1998_189_11_a2/ %G en %F SM_1998_189_11_a2
B. S. Kruglikov. Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized Monge--Ampere equations. Sbornik. Mathematics, Tome 189 (1998) no. 11, pp. 1643-1656. http://geodesic.mathdoc.fr/item/SM_1998_189_11_a2/