KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 3

WARPED PRODUCT SEMI-INVARIANT SUBMANIFOLDS IN LOCALLY DECOMPOSABLE RIEMANNIAN MANIFOLDS

Mehmet ATÇEKEN
Sayfa
401–407
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

After that, we investigate warped product semiinvariant submanifolds in a locally decomposable Riemannian manifold which satisfy the equality case of the inequality and obtain some new results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Warped product semi-invariant submanifolds were defined and studied in locally Riemannian product manifolds in (K.
📊
Temel Bulgular & Veri:Matsumoto, On submanifolds of locally product Riemannian manifolds, TRU Math. 18 (2), 145–157, 1982).
💡
Sonuç & Katkı:After that, we investigate warped product semiinvariant submanifolds in a locally decomposable Riemannian manifold which satisfy the equality case of the inequality and obtain some new results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Semi-invariant submanifold · Warped product semi-invariant submanifold · Locally decomposable Riemannian manifold

Abstract

Warped product semi-invariant submanifolds were defined and studied in locally Riemannian product manifolds in (K. Matsumoto, On submanifolds of locally product Riemannian manifolds, TRU Math. 18 (2), 145–157, 1982). In this paper, we go on to study warped product semi-invariant submanifolds in locally decomposable Riemannian manifolds. We prove several fundamental properties of warped product semi-invariant submanifolds, and establish a general inequality for a warped product semi-invariant submanifold in a locally decomposableRiemannian manifold. After that, we investigate warped product semiinvariant submanifolds in a locally decomposable Riemannian manifold which satisfy the equality case of the inequality and obtain some new results.

🔖

Bu Makaleye Atıf Yap

ATÇEKEN, M. (2022). WARPED PRODUCT SEMI-INVARIANT SUBMANIFOLDS IN LOCALLY DECOMPOSABLE RIEMANNIAN MANIFOLDS. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 3, 401–407. https://ajindex.com/articles/530604

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (7)

  1. At¸ceken, M. Geometry of warped product semi-invariant submanifolds of a locally Riemann- ian product manifold, Serdica Math. J. 35 (3), 273–286, 2009.
  2. Bejancu, A. Semi-invariant submanifolds of locally product Riemannian manifold, Ann. Univ. Timisoara S. Math. XXII, 3–11, 1984.
  3. Bishop, R. L. and O’Neill, B. Manifolds of negative curvature, Trans Amer. Math. Soc. 145, 1–49, 1969.
  4. Chen, B. Geometry of warped product CR-submanifolds in Kaehler manifolds, Manotsh. Math. 133, 177–195, 2001.
  5. Matsumoto, K. On submanifolds of locally product Riemannian manifolds, TRU Math. 18(2), 145–157, 1982.
  6. Yano, K. and Kon, M. Structures on manifolds (World Scientific Publishing Co. Ltd, 1984).
  7. Tachibana, S. Some theorems on a locally product Riemannian manifold, Tohoku Math. J. 12, 281–292, 1960.