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In the first part of this paper, we gave a combinatoric description of the standard non compact $G$-manifolds as the total space $M_{\\varphi}$ of the homogeneous vector bundle $M = G\\times_H V \\to S_0 =G/H$ over a flag manifold $S_0$ and we gave necessary and sufficient conditions for the existence of an invariant Ka"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1906.10633","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-06-25T16:20:11Z","cross_cats_sorted":[],"title_canon_sha256":"e224c37fb3fad9fbff87bcb990b9e962c7d3eff288d1de8e5b3693640853ccea","abstract_canon_sha256":"8819bd39e36386b129c364061aec81d2251b5b1bb209e56dcfe8bd78fd5cfd65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:15.732367Z","signature_b64":"8QWFogviQQAMj8l50kv3v0rv90+H3XJbj67bMr5qwnP940XP5aK5X8a2QX7DkwHBWRPHSGoteiVM89x3xbTODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae96c391de149a090109ca1face26ea26a562893842560151e99d879d3732687","last_reissued_at":"2026-05-17T23:42:15.731730Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:15.731730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cohomogeneity one Kaehler and Kaehler-Einstein manifolds with one singular orbit, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Dmitri Alekseevsky, Fabio Zuddas","submitted_at":"2019-06-25T16:20:11Z","abstract_excerpt":"F. 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