Results 11 to 20 of about 203 (155)

On $\bar {G}$-$J$ anti-invariant submanifolds of almost complex contact metric manifolds

New Trends in Mathematical Science, 2016
In this article we studied anti-invariant submanifolds of almost complex contact metric manifolds. We found a relation between Nijenhuis tensor fields of anti-invariant submanifolds and almost complex contact manifolds. We investigated relations between curvature tensors of these manifolds.
Cumali Yıldırım, Feyza Esra Erdoğan
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Anti-invariant submanifolds of Sasakian space forms, I [PDF]

Tohoku Mathematical Journal, 1977
Kentarô Yano, Masahiro Kon
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On anti-invariant submanifolds in Sasakian manifolds with vanishing contact Bochner curvature tensor

Publicationes Mathematicae Debrecen, 2022
Using scalar curvature estimates the author derives sufficient conditions for minimal anti-invariant submanifolds of Sasakian manifolds with vanishing contact Bochner curvature tensor to be totally geodesic.
Hiroshi Endô
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Anti-invariant submanifolds with flat normal connection [PDF]

Journal of Differential Geometry, 1978
Kentarô Yano, Masahiro Kon, Ikuo Ishihara   +2 more
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Invariant and Anti-Invariant Submanifolds of Generalized Sasakian Space Forms

Lobachevskii Journal of Mathematics
In this article, invariant and anti-invariant submanifolds of generalized Sasakian space forms are investigated. The important properties of such submanifolds are determined according to both Levi-Civita connection and semisymmetric metric connection.
Uday Chand De
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Invariant, anti-invariant and slant submanifolds of a metallic manifold

Novi Sad Journal of Mathematics, 2018
Summary: Properties of invariant, anti-invariant and slant isometrically immersed submanifolds of metallic Riemannian manifolds are given with a special view towards the induced \(\Sigma \)-structure. Examples of such metallic manifolds are also given.
Adara M. Blaga, Cristina E. Hreƫcanu
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Some Solitons on Anti-Invariant Submanifolds of Para-Sasakian Manifold Admitting Semi-Symmetric Non-Metric Connection [PDF]

Symmetry
The objective of this study is to investigate ρ-Einstein solitons on submanifolds of a para-Sasakian manifold under certain curvature conditions. The novelty of this work lies in the characterization of ρ-Einstein solitons on anti-invariant submanifolds of a para-Sasakian manifold equipped with a semi-symmetric non-metric connection, where the ...
Abhijit Mandal, Mustafa Yıldırım, Adel Mohammed Ali Al-Qashbari, Mohammad Nazrul Islam Khan   +3 more
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Conformal η-Ricci soltons on anti-invariant submanifold of LP-Kenmotsu manifold endowed with the Zamkovoy connection

Filomat
The object of the present paper is to study anti-invariant submanifolds of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifold) with respect to the Zamkovoy connection. We prove that if an anti-invariant submanifold M of LP-Kenmotsu manifold contains a conformal Ricci soliton with collinear Reeb vector field, then M is η-Einstein.
Abhijit Mandal, Mustafa Yıldırım
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Book Review: Anti-invariant submanifolds [PDF]

Bulletin of the American Mathematical Society, 1979
Robert C. Reilly
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Invariant, anti invariant and slant submanifolds of locally poly-norden manifolds

Boletim da Sociedade Paranaense de Matemática
In this paper, we study locally almost 3-poly-Norden manifolds and prove several properties of the curvature tensor and Ricci tensor of these manifolds. We investigate invariant, anti-invariant and slant submanifolds of almost 3-poly-Norden manifolds from various views. We characterize these submanifolds and give non-trivial examples.
Masoumeh Tofighi, Mohammad Bagher Kazemi Balgeshir   +1 more
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