An improved first Chen inequality for Legendrian submanifolds in Sasakian space forms
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DOI: 10.1007/s10998-016-0161-0
Abstract: Legendrian submanifolds in Sasakian space forms play an important role in contact geometry. Defever et al. (Boll Unione Mat Ital B 7(11):365–374, 1997) established the first Chen inequality for C-totally real submanifolds in Sasakian space… read more here.
Keywords: submanifolds sasakian; legendrian submanifolds; sasakian space; first chen ... See more keywords
r-Almost Newton–Ricci solitons on Legendrian submanifolds of Sasakian space forms
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DOI: 10.1007/s10998-021-00394-x
Abstract: We establish the geometrical bearing on Legendrian submanifolds of Sasakian space forms in terms of r-almost Newton–Ricci solitons (r-anrs) with the potential function $$\psi : M^{n} \rightarrow \mathcal {R}$$ . Also, we discuss the Legendrian… read more here.
Keywords: submanifolds sasakian; legendrian submanifolds; ricci solitons; sasakian space ... See more keywords
Pseudosymmetry properties of generalised Wintgen ideal Legendrian submanifolds
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DOI: 10.2298/fil1904209s
Abstract: For Legendrian submanifolds Mn in Sasakian space forms ?M2n+1(c), I. Mihai obtained an inequality relating the normalised scalar curvature (intrinsic invariant) and the squared mean curvature and the normalised scalar normal curvature of M in… read more here.
Keywords: legendrian submanifolds; generalised wintgen; ideal legendrian; wintgen ... See more keywords
On the normal scalar curvature conjecture for legendrian submanifolds in Kenmotsu space forms
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DOI: 10.2298/fil2012885n
Abstract: In this paper, we prove DDVV conjecture (the generalized Wintgen inequality) for Legendrian submanifolds in Kenmotsu space forms. Further, we derive an inequality for slant submanifolds in Kenmotsu space forms. read more here.
Keywords: legendrian submanifolds; submanifolds kenmotsu; space forms; conjecture ... See more keywords