TL;DR
This paper explores the relationship between complex and real geometries of Kähler manifolds, establishing conditions under which anti-holomorphic automorphisms lead to real Einstein submanifolds.
Contribution
It provides a necessary and sufficient condition linking anti-holomorphic automorphisms to the existence of real Einstein submanifolds in compact Kähler-Einstein manifolds.
Findings
Characterization of anti-holomorphic automorphisms
Conditions for real Einstein submanifolds
Insights into the interplay between complex and real geometries
Abstract
The aim of this article is to study the interplay between the complex, and underlying real geometries of a K\"ahler manifold. We provide a necessary and sufficient condition for certain anti-holomorphic automorphisms of a compact K\"ahler-Einstein manifold to determine real Einstein submanifolds.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsRelativity and Gravitational Theory · Black Holes and Theoretical Physics · Cosmology and Gravitation Theories