Table 3

Inequalities for different submanifolds in a conformal Sasakian space form endowed with a semi-symmetric metric connection

SNMInequality

(1)

Semi-slant

ρM+ρH2+exp(f)c+34c12m+3(c1)4m(m1)(m1+m2cos2θ2)+tr(B)m+14ω#22am

(2)

Pseudo-slant

ρM+ρH2+exp(f)c+34c12m+3(c1)4m(m1)(m1cos2θ1)+tr(B)m+14ω#22am

(3)

Contact CR

ρM+ρH2+exp(f)c+34c12m+3(c1)4m(m1)(m1)+tr(B)m+14ω#22am

(4)

Slant

ρM+ρH2+exp(f)c+34c12m+3(c1)4m(m1)(m1+m2)cos2θ+tr(B)m+14ω#22am

(5)

Invariant

ρM+ρH2+exp(f)c+34c12m+3(c1)4m(m1)(m1+m2)+tr(B)m+14ω#22am

(6)

Anti-invariant

ρM+ρH2+exp(f)c+34c12m+tr(B)m+14ω#22am

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