{
  "annotation_id": "198ee047-9d90-4c45-bd43-db1075b4290d",
  "date_created": "2026-02-17T05:53:23.609000Z",
  "date_modified": "2026-02-17T05:53:23.609000Z",
  "file_hash": "6a58a20ec5de50344aefa8a0b228f8af9cfe0e3eec7adc01018579056671ee97",
  "private": false,
  "record": {
    "abstract": "This work investigates biharmonic and interpolating sesqui-harmonic vector fields on the tangent bundle of a para-K\\\"ahler--Norden manifold (M, varphi, g) endowed with the varphi-Sasaki metric. We derive the first variation of the bienergy and interpolating sesqui-energy functionals, restricted to the space of vector fields. Explicit characterizations are established for vector fields satisfying the corresponding variational conditions-namely, biharmonicity and interpolating sesqui-harmonicity. Furthermore, several examples are presented to illustrate the general theory and to elucidate the distinctions between harmonic, biharmonic, and interpolating sesqui-harmonic behaviors. These results extend and complement existing research on higher-order harmonicity in pseudo-Riemannian geometry.",
    "arxiv_id": "2601.10216",
    "authors": [
      "Abderrahim Zagane",
      "Kheireddine Biroud",
      "Medjahed Djilali"
    ],
    "categories": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Biharmonic and Interpolating Sesqui-Harmonic Vector Fields with Respect to the varphi-Sasakian Metric",
    "url": "https://arxiv.org/abs/2601.10216",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2d9d9582-481e-4c0c-960e-f73f788bd2bf",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}