LAUSR

Classification Theorems for Biharmonic Real Hypersurfaces in a Complex Projective Space

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0 Published in 2019 at "Results in Mathematics"

DOI: 10.1007/s00025-019-1062-3

Abstract: First, we classify proper biharmonic Hopf real hypersurfaces in $\mathbb{C}P^2$. Next, we classify proper biharmonic real hypersurfaces with two distinct principal curvatures in $\mathbb{C}P^n$, where $n\geq 2$. Finally, we prove that biharmonic ruled real hypersurfaces… read more here.

Keywords: hypersurfaces complex; theorems biharmonic; real hypersurfaces; complex projective ... See more keywords

The complex $$K^{*}$$K∗ ring of the complex projective Stiefel manifold

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1 Published in 2019 at "Journal of Algebraic Combinatorics"

DOI: 10.1007/s10801-019-00881-y

Abstract: The topological $$K^{*}$$K∗ ring is one of the important tools used for understanding the topology of a manifold. We settle a problem of computing the $$K^{*}$$K∗ ring of complex projective Stiefel manifold using combinatorics. We… read more here.

Keywords: stiefel manifold; projective stiefel; complex ring; ring complex ... See more keywords

Homotopies of maps of suspended real and complex projective spaces and their cohomotopy groups

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1 Published in 2021 at "Topology and its Applications"

DOI: 10.1016/j.topol.2020.107553

Abstract: Abstract We describe the set [ X , Y ] of path-components of pointed mapping spaces M ⁎ ( X , Y ) , where X is chosen to be the reduced kth suspension E… read more here.

Keywords: homotopies maps; projective spaces; suspended real; maps suspended ... See more keywords

ALEXANDER POLYNOMIALS OF COMPLEX PROJECTIVE PLANE CURVES

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0 Published in 2018 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s0004972717001198

Abstract: We compute the Alexander polynomial of a nonreduced nonirreducible complex projective plane curve with mutually coprime orders of vanishing along its irreducible components in terms of certain multiplier ideals. read more here.

Keywords: projective plane; alexander polynomials; polynomials complex; plane curves ... See more keywords

The index of harmonic maps from surfaces to complex projective spaces

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2 Published in 2020 at "International Journal of Mathematics"

DOI: 10.1142/s0129167x2050069x

Abstract: We estimate the dimensions of the spaces of holomorphic sections of certain line bundles to give improved lower bounds on the index of complex isotropic harmonic maps to complex projective space from the sphere and… read more here.

Keywords: harmonic maps; maps surfaces; surfaces complex; complex projective ... See more keywords

Uniqueness polynomials for holomorphic curves into the complex projective space

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0 Published in 2020 at "Filomat"

DOI: 10.2298/fil2002351y

Abstract: In this paper, by making use of uniqueness polynomials for meromorphic functions, we obtain a class of uniqueness polynomials for holomorphic curves from the complex plane into complex projective space. The related uniqueness problems are… read more here.

Keywords: curves complex; projective space; polynomials holomorphic; holomorphic curves ... See more keywords