Investigation on Minimal Surfaces, Biharmonic Submanifolds, and Their Applications in Discrete Geometry

Najma Mosadegh (Azarbaijan Shahid Madani U)

Jan 30. 2025, 14:00 — 14:25

This talk statement outlines research  on the results of studying  minimal hypersurfaces and their applications in discrete geometry. Building upon the findings of my Ph. D thesis, I aim to expand understanding of minimal submanifolds, investigate the properties of harmonic hypersurfaces through the notion of biharmonic submanifolds, and explore new applications of these concepts.

These result came out of my 6 publications in international journals. Including the notion of characterization of minimal hypersurfaces under biharmonicity, in the Euclidean spaces, complex Euclidean spaces, Sasakian space forms... . Furthermore these  harmonic and biharmonic maps have a significant role in the discrete geometry special in shape analysis and tracking.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Infinite-dimensional Geometry: Theory and Applications (Thematic Programme)
Organizer(s):
Tomasz Goliński (U of Białystok)
Gabriel Larotonda (U of Buenos Aires)
Alice Barbara Tumpach (WPI, Vienna)
Cornelia Vizman (WU of Timisoara)