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Dergiler / International Electronic Journal of Geometry / 2022 / Cilt: 15 - Sayı: 2

B.-Y. Chen's Inequality for Kähler-like Statistical Submersions

Aliya Naaz SIDDIQUI
Siraj UDDİN
Mohammad Hasan SHAHİD
Sayfa
277–286
Yayın Tarihi
2022-10-31
DOI
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At the end, we give a nontrivial example of a K\"ahler-like statistical submersion.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we first define the notion of Lagrangian statistical submersion from a K\"ahler-like statistical manifold onto a statistical manifold.
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Temel Bulgular & Veri:Then we prove that the horizontal distribution of a Lagrangian statistical submersion is integrable.
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Sonuç & Katkı:At the end, we give a nontrivial example of a K\"ahler-like statistical submersion.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Statistical submersions · Lagrangian statistical submersions · Kähler-like statistical submersions

Abstract

In this paper, we first define the notion of Lagrangian statistical submersion from a K\"ahler-like statistical manifold onto a statistical manifold. Then we prove that the horizontal distribution of a Lagrangian statistical submersion is integrable. Next, we establish Chen-Ricci inequality for Lagrangian statistical submersions from K\"ahler-like statistical manifolds onto statistical manifolds and discuss the equality case of the obtained inequality through a basic tensor introduced by O'Neill that plays the role of the second fundamental form of an isometric immersion. At the end, we give a nontrivial example of a K\"ahler-like statistical submersion.

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Bu Makaleye Atıf Yap

SIDDIQUI, A. N., UDDİN, S., SHAHİD, M. H. (2022). B.-Y. Chen's Inequality for Kähler-like Statistical Submersions. International Electronic Journal of Geometry, Cilt: 15 - Sayı: 2, 277–286. https://ajindex.com/articles/672037

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