Pith Number

pith:IBNMJ7TH

pith:2013:IBNMJ7THJGVPWQMWDYACJSF4M3

not attested not anchored not stored refs pending

Geodesic mapping onto K\"ahlerian space of the first kind

Irena Hinterleitner, Marija Najdanovi\'c, Milan Zlatanovi\'c

Necessary and sufficient conditions for geodesic mappings from generalized Riemannian spaces onto generalized Kählerian spaces of the first kind are derived using a non-symmetric metric tensor.

arxiv:1305.3776 v1 · 2013-05-16 · math.DG

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\pithnumber{IBNMJ7THJGVPWQMWDYACJSF4M3}

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Record completeness

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4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Using the non-symmetric metric tensor we find necessary and sufficient conditions for a geodesic mapping f:GR_N → G K-bar_N with respect to the four kinds of covariant derivatives.

C2weakest assumption

The almost complex structure F is covariantly constant with respect to the first kind of covariant derivative in the generalized Kählerian space of the first kind.

C3one line summary

Necessary and sufficient conditions are found for geodesic mappings onto generalized Kählerian spaces of the first kind with respect to four covariant derivatives.

Receipt and verification

First computed	2026-05-18T01:25:40.003845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405ac4fe6749aafb41961e0024c8bc66d5f2cf84d060f8e84333435b670e96fa

Aliases

arxiv: 1305.3776 · arxiv_version: 1305.3776v1 · doi: 10.48550/arxiv.1305.3776 · pith_short_12: IBNMJ7THJGVP · pith_short_16: IBNMJ7THJGVPWQMW · pith_short_8: IBNMJ7TH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IBNMJ7THJGVPWQMWDYACJSF4M3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 405ac4fe6749aafb41961e0024c8bc66d5f2cf84d060f8e84333435b670e96fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "031ae117226a1437edd1fda57214fbe808f784dfd561822c0349cb6d4fb93b0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-16T12:14:59Z",
    "title_canon_sha256": "6a8ab4e4d03f8cffecddc503a29fe66ced49dbde22fbd95c6de8f12256e1fad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3776",
    "kind": "arxiv",
    "version": 1
  }
}