Inequalities for the Casorati Curvature of Statistical Manifolds in Holomorphic Statistical Manifolds of Constant Holomorphic Curvature
Copyright policy )Inequalities for the Casorati Curvature of Statistical Manifolds in Holomorphic Statistical Manifolds of Constant Holomorphic Curvature
In this paper, we prove some inequalities in terms of the normalized δ -Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of statistical submanifolds in holomorphic statistical manifolds with constant holomorphic sectional curvature. Moreover, we study the equality cases of such inequalities. An example on these submanifolds is presented.
- Hasselt University Belgium
- KU Leuven Belgium
- Université Catholique de Louvain Belgium
- ROMANIAN ACADEMY NATIONAL INSTITUTE FOR ECONOMIC RESEARCH Romania
- Institute of National Economy Romania
Science & Technology, LAGRANGIAN SUBMANIFOLDS, GEOMETRY, Casorati curvature, statistical submanifold, CLASSIFICATION, TERMS, holomorphic statistical manifold, Physical Sciences, QA1-939, casorati curvature, COMPLEX-SPACE-FORMS, 49 Mathematical sciences, Mathematics
Science & Technology, LAGRANGIAN SUBMANIFOLDS, GEOMETRY, Casorati curvature, statistical submanifold, CLASSIFICATION, TERMS, holomorphic statistical manifold, Physical Sciences, QA1-939, casorati curvature, COMPLEX-SPACE-FORMS, 49 Mathematical sciences, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).15 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!