Geometric inequalities for non-integrable distributions in statistical manifolds with constant curvature
Filomat, Tome 35 (2021) no. 11, p. 3585
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In this paper, we make Euler inequality, Chen first inequality and Chen-Ricci inequality for non-integrable distributions in statistical manifolds with constant curvatures. Moreover, we investigate the conditions for equality cases
Classification :
53B05, 53C07, 53C40
Keywords: Statistical manifolds, non-integrable distributions, Euler inequalty, Chen first inequality, Chen-Ricci inequality
Keywords: Statistical manifolds, non-integrable distributions, Euler inequalty, Chen first inequality, Chen-Ricci inequality
Guoqing He; Juan Zhang; Peibiao Zhao. Geometric inequalities for non-integrable distributions in statistical manifolds with constant curvature. Filomat, Tome 35 (2021) no. 11, p. 3585 . doi: 10.2298/FIL2111585H
@article{10_2298_FIL2111585H,
author = {Guoqing He and Juan Zhang and Peibiao Zhao},
title = {Geometric inequalities for non-integrable distributions in statistical manifolds with constant curvature},
journal = {Filomat},
pages = {3585 },
year = {2021},
volume = {35},
number = {11},
doi = {10.2298/FIL2111585H},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111585H/}
}
TY - JOUR AU - Guoqing He AU - Juan Zhang AU - Peibiao Zhao TI - Geometric inequalities for non-integrable distributions in statistical manifolds with constant curvature JO - Filomat PY - 2021 SP - 3585 VL - 35 IS - 11 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2111585H/ DO - 10.2298/FIL2111585H LA - en ID - 10_2298_FIL2111585H ER -
%0 Journal Article %A Guoqing He %A Juan Zhang %A Peibiao Zhao %T Geometric inequalities for non-integrable distributions in statistical manifolds with constant curvature %J Filomat %D 2021 %P 3585 %V 35 %N 11 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2111585H/ %R 10.2298/FIL2111585H %G en %F 10_2298_FIL2111585H
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