Author:
Cattaneo Andrea,Nannicini Antonella,Tomassini Adriano
Abstract
AbstractWe study the Kodaira dimension of a real parallelizable manifold M, with an almost complex structure J in standard form with respect to a given parallelism. For $$X = (M, J)$$
X
=
(
M
,
J
)
we give conditions under which $${{\,\textrm{kod}\,}}(X) = 0$$
kod
(
X
)
=
0
. We provide examples in the case $$M = G \times G$$
M
=
G
×
G
, where G is a compact connected real Lie group. Finally we describe geometrical properties of real parallelizable manifolds in the framework of statistical geometry.
Funder
Università degli Studi di Parma
Publisher
Springer Science and Business Media LLC
Reference19 articles.
1. Abbena, E., Grassi, A.: Hermitian left invariant metrics on complex Lie groups and cosymplectic Hermitian manifolds. Boll. Dell’un. Mat. Ital. A (6) 5(3), 371–379 (1986)
2. Amari, S.I.: Differential-Geometrical Methods in Statistics, Lecture Notes in Statistics, vol. 28. Springer (1985)
3. Birkar, C., Cascini, P., Hacon, C.D., McKernan, J.: Existence of minimal models for varieties of log general type. J. Am. Math. Soc. 23(2), 405–468 (2010)
4. Blaga, A.M., Nannicini, A.: On statistical and semi-weyl manifolds admitting torsion. Mathematics 10, 990 (2022)
5. Calabi, E., Eckmann, B.: A class of compact, complex manifolds which are not algebraic. Ann. Math., Second Ser. 58, 494–500 (1953)
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