update compat for Manifolds v0.9.12

Author: dehann

Project.toml

@@ -78,8 +78,9 @@ FiniteDifferences = "0.12"
 FunctionalStateMachine = "0.2.9"
 JSON3 = "1"
 KernelDensityEstimate = "0.5.6"
+LinearAlgebra = "1"
 ManifoldDiff = "0.3"
-Manifolds = "0.9"
+Manifolds = "0.9.12"
 ManifoldsBase = "0.15"
 Manopt = "0.4.40"
 MetaGraphs = "0.7"
@@ -96,7 +97,7 @@ StatsBase = "0.32, 0.33, 0.34"
 StructTypes = "1"
 TensorCast = "0.3.3, 0.4"
 TimeZones = "1.3.1"
-julia = "1.9"
+julia = "1.10"
 
 [extras]
 AMD = "14f7f29c-3bd6-536c-9a0b-7339e30b5a3e"