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- W3197229065 abstract "Abstract In the present paper, we study invariant submanifolds of almost Kenmotsu structures whose Riemannian curvature tensor has $$(kappa ,mu ,nu )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>κ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>μ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>ν</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -nullity distribution. Since the geometry of an invariant submanifold inherits almost all properties of the ambient manifold, we research how the functions $$kappa ,mu $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>κ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>μ</mml:mi> </mml:mrow> </mml:math> and $$nu $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>ν</mml:mi> </mml:math> behave on the submanifold. In this connection, necessary and sufficient conditions are investigated for an invariant submanifold of an almost Kenmotsu $$(kappa ,mu ,nu )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>κ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>μ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>ν</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -space to be totally geodesic under some conditions." @default.
- W3197229065 created "2021-09-13" @default.
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- W3197229065 date "2021-08-28" @default.
- W3197229065 modified "2023-09-23" @default.
- W3197229065 title "Certain results on invariant submanifolds of an almost Kenmotsu $$(kappa ,mu ,nu )$$-space" @default.
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- W3197229065 doi "https://doi.org/10.1007/s40065-021-00339-9" @default.
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