On weakly symmetric generalized trans-sasakian manifold

• Autorzy: Levejoy S. Das , Ram Nivas , Rupali Agnihotri
• Języki publikacji: EN

Abstrakty

EN

In this paper, we have defined the weakly symmetric generalized Trans-Sasakian manifold \(G(WS)_n\) and it has been shown that on such manifold if any two of the vector fields \(\lambda,\gamma,\tau\), defined by equation (0.3) are orthogonal to \(\xi\), then the third will also be orthogonal to \(\xi\). We have also proved that the scalar curvature \(r\) of weakly symmetric generalized Trans-Sasakian manifold \(G(WS)_n\), \((n > 2)\) satisfies the equation \(r = 2n(\alpha^2 − \beta^2)\), where \(\alpha\) and \(\beta\) are smooth function and \(\gamma\not=\tau\).

Słowa kluczowe

EN

Trans-Sasakian manifold, weakly symmetric, Riemannian manifold, curvature tensor

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: 54
• Numer: 1

Daty

wydano

2014

online

2015-06-30

Twórcy

autor

Levejoy S. Das

autor

Ram Nivas

autor

Rupali Agnihotri

Identyfikatory

DOI

10.14708/cm.v54i1.767