ON A PAIR OF CONNECTIONS WHICH IS COMPATIBLE WITH AN ALMOST r-PARACONTACT STRUCTURE

Bucki, A.; Miernowski, Andrzej

doi:10.1515/dema-1984-0311

Cited by 3 publications

(6 citation statements)

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“…From (3.15) and (3.16) after computations similar to the computations in the proof of theorem 3.1 in [3] we obtain our theorem. Proof.…”

Section: From the Identity (∇supporting

confidence: 56%

“…where a ∈ (n − 1), then after computations similar to the computations in the proof of Lemma 4.1 in [3] we easily obtain our lemma. Proof.…”

Section: From the Identity (∇mentioning

confidence: 76%

“…In [4], A. Bucki introduced r-paracontact structures of P -Sasakian type. Properties of hypersurface of almost r-paracontact Riemannian manifold were studied by A. Bucki in [3]. M. Ahmad, J.-B.…”

Section: T (X Y ) = U(y )X − U(x)ymentioning

confidence: 99%

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HYPERSURFACES OF ALMOST Γ-Paracontact RIEMANNIAN MANIFOLD ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTION

Jun¹,

Ahmad²

2009

Bulletin of the Korean Mathematical Society

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“…From (3.15) and (3.16) after computations similar to the computations in the proof of theorem 3.1 in [3] we obtain our theorem. Proof.…”

Section: From the Identity (∇supporting

confidence: 56%

“…where a ∈ (n − 1), then after computations similar to the computations in the proof of Lemma 4.1 in [3] we easily obtain our lemma. Proof.…”

Section: From the Identity (∇mentioning

confidence: 76%

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HYPERSURFACES OF ALMOST Γ-Paracontact RIEMANNIAN MANIFOLD ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTION

Jun¹,

Ahmad²

2009

Bulletin of the Korean Mathematical Society

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“…where X and Y are vector fields on M , then the structure =(φ, ξ α , η α , g) α∈(r) is said to be an almost r-paracontact Riemannian structure and M is an almost r-paracontact Riemannian manifold [3]. From (2.1) through (2.4), we have for α ∈ (r)…”

Section: Preliminariesmentioning

confidence: 99%

“…In [3], A. Bucki, considered hypersurfaces of almost r-paracontact Riemannian manifold. Some properties of invariant hypersurfaces of an almost r-paracontact Riemannian manifold were investigated in [4] by A. Bucki and A. Miernowski.…”

Section: Introductionmentioning

confidence: 99%

HYPERSURFACES OF ALMOST Γ-Paracontact RIEMANNIAN MANIFOLD ENDOWED WITH a QUARTER SYMMETRIC METRIC CONNECTION

Ahmad¹,

Jun²,

Haseeb³

2009

Bulletin of the Korean Mathematical Society

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ON ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD WITH A CERTAIN CONNECTION

Ahmad¹,

Haseeb²,

Jun³

et al. 2010

Communications of the Korean Mathematical Society

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Abstract. In a Riemannian manifold, the existence of a new connection is proved. In particular cases, this connection reduces to several symmetric, semi-symmetric and quarter symmetric connections, even some of them are not introduced so far. So, in this paper, we define a quarter symmetric semi-metric connection in an almost r-paracontact Riemannian manifold and consider invariant, non-invariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold with that connection.

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ON A PAIR OF CONNECTIONS WHICH IS COMPATIBLE WITH AN ALMOST r-PARACONTACT STRUCTURE

Cited by 3 publications

References 0 publications

HYPERSURFACES OF ALMOST Γ-Paracontact RIEMANNIAN MANIFOLD ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTION

HYPERSURFACES OF ALMOST Γ-Paracontact RIEMANNIAN MANIFOLD ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTION

HYPERSURFACES OF ALMOST Γ-Paracontact RIEMANNIAN MANIFOLD ENDOWED WITH a QUARTER SYMMETRIC METRIC CONNECTION

ON ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD WITH A CERTAIN CONNECTION

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