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Dergiler / Turkish Journal of Mathematics and Computer Science / 2023 / Volume: 15 Issue: 2

On Curvatures of Semi-invariant Submanifolds of Lorentzian Para-Sasakian Manifolds

Ramazan Sarı(AMASYA UNIVERSITY)0000-0002-4618-8243
İnan Ünal(MUNZUR UNIVERSITY)0000-0003-1318-9685
Sayfa
—
Yayın Tarihi
2023-12-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, semi-invariant products of Lorentzian para-Sasakian manifolds have been considered and an important inequality for second fundamental form is proved.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A Lorentzian para-Sasakian (LP-Sasakian) space form is a kind of para-Sasakian manifold with constant $ \varphi- $ holomorphic sectional curvature.
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Temel Bulgular & Veri:The presented paper is on the curvatures of semi-invariant submanifolds of a LP-Sasakian space form.
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Sonuç & Katkı:Finally, semi-invariant products of Lorentzian para-Sasakian manifolds have been considered and an important inequality for second fundamental form is proved.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lorentzian para-Sasakian manifold · Lorentzian para-Sasakian space forms · semi-invariant submanifold

Abstract

A Lorentzian para-Sasakian (LP-Sasakian) space form is a kind of para-Sasakian manifold with constant $ \varphi- $ holomorphic sectional curvature. The presented paper is on the curvatures of semi-invariant submanifolds of a LP-Sasakian space form. Firstly, the definition of a semi-invariant submanifold of LP-Sasakian space form is given and an example is presented. Then, using Gauss equation related to curvatures used for obtaining some important results on Ricci and scalar curvatures. Moreover, by suffering from these results conditions of distributions being Einstein have been examined. Finally, semi-invariant products of Lorentzian para-Sasakian manifolds have been considered and an important inequality for second fundamental form is proved.

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Bu Makaleye Atıf Yap

Sarı, R., Ünal, İ. (2023). On Curvatures of Semi-invariant Submanifolds of Lorentzian Para-Sasakian Manifolds. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 2. https://doi.org/10.47000/tjmcs.1322351

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