Bochner formula in generalized (k, μ)-space forms

• Autorzy: B Shanmukha

Identyfikatory

DOI

10.1515/jaa-2022-1005

• Języki publikacji: EN

Abstrakty

EN

In this article, we studied Green’s theorem and the Bochner formula. Further, we apply the Bochner formula to generalized (k, μ)-space forms and show that the generalized (k, μ) space form is either isometric to a sphere or a certain warped product under some geometric conditions.

Słowa kluczowe

EN

generalized (k, μ) space form; Bochner formula; eigenvalue

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 2
• Strony: 323--328
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

B Shanmukha

• Department of Mathematics, G. M. Institute of Technology, Davangere, Karnataka, India

Bibliografia

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• [7] B.-Y. Chen, Geometry of Submanifolds, Pure Appl. Math. 22, Marcel Dekker, New York, 1973.
• [8] M. Jamali and M. H. Shahid, Application of Bochner formula to generalized Sasakian space forms, Afr. Mat. 29 (2018), no. 7-8, 1135-1139.
• [9] T. Koufogiorgos, Contact Riemannian manifolds with constant ϕ-sectional curvature, Tokyo J. Math. 20 (1997), no. 1, 13-22.
• [10] M. Obata, Certain conditions for a Riemannian manifold to be isometric with a sphere, J. Math. Soc. Japan 14 (1962), 333-340.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).