diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt
index 5cd73350..e99e0aef 100644
--- a/src/CMakeLists.txt
+++ b/src/CMakeLists.txt
@@ -5,5 +5,6 @@ add_subdirectory(csr)
 add_subdirectory(exterior)
 add_subdirectory(mesher)
 add_subdirectory(misc)
+add_subdirectory(normalization)
 add_subdirectory(tensor)
 add_subdirectory(young_tableau)
diff --git a/src/normalization/CMakeLists.txt b/src/normalization/CMakeLists.txt
new file mode 100644
index 00000000..a8ad09d8
--- /dev/null
+++ b/src/normalization/CMakeLists.txt
@@ -0,0 +1,12 @@
+# SPDX-FileCopyrightText: 2024 Baptiste Legouix
+# SPDX-License-Identifier: GPL-3.0-or-later
+
+add_library("normalization" INTERFACE)
+
+target_include_directories("normalization" INTERFACE "${CMAKE_CURRENT_SOURCE_DIR}")
+
+find_package(Boost REQUIRED)
+
+target_link_libraries("normalization" INTERFACE DDC::DDC sil::tensor)
+
+add_library("sil::normalization" ALIAS "normalization")
diff --git a/src/normalization/normalization.hpp b/src/normalization/normalization.hpp
new file mode 100644
index 00000000..15b2e6c5
--- /dev/null
+++ b/src/normalization/normalization.hpp
@@ -0,0 +1,74 @@
+// SPDX-FileCopyrightText: 2024 Baptiste Legouix
+// SPDX-License-Identifier: GPL-3.0-or-later
+
+#pragma once
+
+#include <ddc/ddc.hpp>
+
+#include "tensor.hpp"
+
+namespace sil {
+
+namespace normalization {
+
+template <
+        misc::Specialization<MetricIndex> MetricIndex,
+        misc::Specialization<Tensor> TensorType,
+        misc::Specialization<ChunkSpan> PositionType,
+        misc::Specialization<Tensor> MetricType>
+KOKKOS_FUNCTION TensorType inplace_normalize(TensorType tensor, PositionType pos, MetricType metric)
+{
+    assert(tensor.non_indices_domain() == metric.non_indices_domain());
+    tensor::tensor_accessor_for_domain_t<metric_prod_domain_t<
+            MetricIndex,
+            primes<ddc::detail::convert_discrete_domain_to_type_seq_t<
+                    typename TensorType::non_indices_domain_t>>,
+            second<ddc::detail::convert_discrete_domain_to_type_seq_t<
+                    typename TensorType::non_indices_domain_t>>>>
+            metric_prod_accessor;
+    ddc::Chunk metric_prod_alloc(
+            ddc::cartesian_prod_t<
+                    typename TensorType::non_indices_domain_t,
+                    metric_prod_domain_t<
+                            MetricIndex,
+                            primes<ddc::detail::convert_discrete_domain_to_type_seq_t<
+                                    typename TensorType::non_indices_domain_t>>,
+                            seconds<ddc::detail::convert_discrete_domain_to_type_seq_t<
+                                    typename TensorType::non_indices_domain_t>>>>(
+                    tensor.non_indices_domain(),
+                    metric_prod_accessor.mem_domain()),
+            ddc::HostAllocator<double>());
+    tensor::Tensor<
+            double,
+            ddc::cartesian_prod_t<
+                    typename TensorType::non_indices_domain_t,
+                    metric_prod_domain_t<
+                            MetricIndex,
+                            primes<ddc::detail::convert_discrete_domain_to_type_seq_t<
+                                    typename TensorType::non_indices_domain_t>>,
+                            seconds<ddc::detail::convert_discrete_domain_to_type_seq_t<
+                                    typename TensorType::non_indices_domain_t>>>>,
+            Kokkos::layout_right,
+            Kokkos::DefaultHostExecutionSpace::memory_space>
+            metric_prod(metric_prod_alloc);
+
+    fill_metric_prod<
+            MetricIndex,
+            primes<ddc::detail::convert_discrete_domain_to_type_seq_t<
+                    typename TensorType::non_indices_domain_t>>,
+            seconds<ddc::detail::convert_discrete_domain_to_type_seq_t<
+                    typename TensorType::non_indices_domain_t>>>(metric_prod, metric);
+
+    ddc::parallel_for_each(
+            Kokkos::DefaultHostExecutionSpace(),
+            tensor.domain(),
+            [&](typename TensorType::discrete_element_type elem) {
+                tensor[elem]
+                        *= tensor::tensor_prod(metric_prod[elem], pos[elem] - pos[elem]); // TODO
+            });
+    return tensor;
+}
+
+} // namespace normalization
+
+} // namespace sil