In this thesis, we study minimal hypersurfaces with U(m)-invariant Kähler metrics. We provide new method to construct AE scalar flat Kähler manifolds which contains stable minimal hypersurface. The computation of the ADM mass and area has been completed but it is in the process of verification. Once the computation of the mass is verified, I will add in the final version of this thesis, the proof of the Penrose Inequality for U(m)-invariant Kähler manifolds in dimension four.

Minimal hypersurfaces in U(m)-invariant scalar flat Kähler manifolds / Samreena, Samreena. - (2022 Nov 25).

Minimal hypersurfaces in U(m)-invariant scalar flat Kähler manifolds

Samreena, Samreena
2022-11-25

Abstract

In this thesis, we study minimal hypersurfaces with U(m)-invariant Kähler metrics. We provide new method to construct AE scalar flat Kähler manifolds which contains stable minimal hypersurface. The computation of the ADM mass and area has been completed but it is in the process of verification. Once the computation of the mass is verified, I will add in the final version of this thesis, the proof of the Penrose Inequality for U(m)-invariant Kähler manifolds in dimension four.
Bruzzo, Ugo
Claudio, Arezzo
Samreena, Samreena
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embargo fino al 25/05/2023

Descrizione: tesi di Ph.D.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/130391
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