Displaying similar documents to “On generalised Chen and k -minimal immersions.”

Slant submanifolds in cosymplectic manifolds

Ram Shankar Gupta, S. M. Khursheed Haider, A. Sharfuddin (2006)

Colloquium Mathematicae

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We give some examples of slant submanifolds of cosymplectic manifolds. Also, we study some special slant submanifolds, called austere submanifolds, and establish a relation between minimal and anti-invariant submanifolds which is based on properties of the second fundamental form. Moreover, we give an example to illustrate our result.

Minimal submanifolds in general (α,β)-spaces

Songting Yin, Qun He, Dinghe Xie (2013)

Annales Polonici Mathematici

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The volume forms of general (α,β)-metrics are studied. Some equations for minimal submanifolds in general (α,β)-spaces are established by using the normal frame field, and some minimal surfaces in general (α,β)-spaces with special curvature properties are constructed.