On Characterizations of Hopf Hypersurfaces in a Nonflat Complex Space Form with Anti-commuting Operators
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DOI: 10.1007/s00025-016-0567-2
Abstract: Let M be a real hypersurface in a complex space form Mn(c), $${c \neq 0}$$c≠0. In this paper we prove that if $${R_{\xi}(\phi A - A\phi) + (\phi A - A\phi)R_{\xi} = 0}$$Rξ(ϕA-Aϕ)+(ϕA-Aϕ)Rξ=0 holds on… read more here.
Keywords: phi; space form; hopf hypersurfaces; complex space ... See more keywords
An optimal inequality for Lagrangian submanifolds in complex space forms involving Casorati curvature
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.060
Abstract: Abstract In this paper, we establish an optimal inequality involving normalized δ-Casorati curvature δ C ( n − 1 ) of Lagrangian submanifolds in n-dimensional complex space forms. We derive a very singular and unexpected… read more here.
Keywords: casorati curvature; inequality; optimal inequality; curvature ... See more keywords
Quantitative proteomic analysis of cortex in the depressive-like behavior of rats induced by the simulated complex space environment.
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DOI: 10.1016/j.jprot.2021.104144
Abstract: Long-term spaceflight has always been challenging for astronauts due to the extremely complicated space environmental conditions, including microgravity, noise, confinement, and circadian rhythms disorders, which may cause adverse effects on astronauts' mental health, such as… read more here.
Keywords: space environment; depressive like; like behavior; complex space ... See more keywords
Biwarped product submanifolds of complex space forms
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DOI: 10.1142/s0219887819500725
Abstract: The class of biwarped product manifolds is a generalized class of product manifolds and a special case of multiply warped product manifolds. In this paper, biwarped product submanifolds of the type [Formula: see text] embedded… read more here.
Keywords: complex space; biwarped product; product submanifolds; space forms ... See more keywords
Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections
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DOI: 10.1142/s0219887819501184
Abstract: In this paper, we obtain Chen’s inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections. read more here.
Keywords: complex space; space forms; inequalities submanifolds; submanifolds complex ... See more keywords
Criteria of saddle points for the general form of vector optimization problem in complex space
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DOI: 10.2298/fil2001221e
Abstract: In this paper, the criteria of the saddle point type for a general form of complex multi-objective programming problems are derived where the objective function of the problem is considered full complex. The criteria with/without… read more here.
Keywords: general form; saddle points; criteria saddle; problem ... See more keywords
Lower extremities for generalized normalized δ-Casorati curvatures of bi-slant submanifolds in generalized complex space forms
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DOI: 10.5937/kgjmath1804591a
Abstract: In this paper, we obtain the inequalities for the generalized normalized δ-Casorati curvature and the normalized scalar curvature for different submanifolds in generalized complex space form, which is based on an optimization procedure involving a… read more here.
Keywords: generalized normalized; generalized complex; space; submanifolds generalized ... See more keywords