Totally biharmonic hypersurfaces in space forms and 3-dimensional BCV spaces
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DOI: 10.1142/s0129167x21500257
Abstract: A hypersurface is said to be totally biharmonic if all its geodesics are biharmonic curves in the ambient space. We prove that a totally biharmonic hypersurface into a space form is an isoparametric biharmonic hypersurface,… read more here.
Keywords: hypersurfaces space; space forms; totally biharmonic; biharmonic hypersurfaces ... See more keywords
SECOND-ORDER NORMAL FORMS FOR N-DIMENSIONAL SYSTEMS WITH A NILPOTENT POINT
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DOI: 10.11948/20190393
Abstract: Normal forms theory is one of the most powerful tools for the study of nonlinear differential equations, in particular, for stability and bifurcation analysis. Many works paid attention to normal forms associated with nilpotent Jacobian… read more here.
Keywords: second order; complementary spaces; forms dimensional; order normal ... See more keywords